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331132112213232 = 243112924738744707
BaseRepresentation
bin100101101001010011011001…
…1111011000001010011110000
31121102102220212020111120021210
41023102212303323001103300
5321400232031211310412
63132131554201120120
7126514335300204621
oct11322466373012360
91542386766446253
10331132112213232
1196566381825670
123117b756489040
131129c81648a325
145baac4603da48
15284378d38d83c
hex12d29b3ec14f0

331132112213232 has 160 divisors (see below), whose sum is σ = 965759954906880. Its totient is φ = 96843771279360.

The previous prime is 331132112213191. The next prime is 331132112213233. The reversal of 331132112213232 is 232312211231133.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 331132112213232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331132112213233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33494223 + ... + 42238929.

It is an arithmetic number, because the mean of its divisors is an integer number (6035999718168).

Almost surely, 2331132112213232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331132112213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482879977453440).

331132112213232 is an abundant number, since it is smaller than the sum of its proper divisors (634627842693648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331132112213232 is a wasteful number, since it uses less digits than its factorization.

331132112213232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8747231 (or 8747225 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

Adding to 331132112213232 its reverse (232312211231133), we get a palindrome (563444323444365).

The spelling of 331132112213232 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, one hundred twelve million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1914 2473 2552 3828 4946 5104 7419 7656 9892 14838 15312 19784 27203 29676 39568 54406 59352 71717 81609 108812 118704 143434 163218 215151 217624 286868 326436 430302 435248 573736 652872 788887 860604 1147472 1305744 1577774 1721208 2366661 3155548 3442416 4733322 6311096 8744707 9466644 12622192 17489414 18933288 26234121 34978828 37866576 52468242 69957656 96191777 104936484 139915312 192383554 209872968 253596503 288575331 384767108 419745936 507193006 577150662 760789509 769534216 1014386012 1154301324 1521579018 1539068432 2028772024 2308602648 2789561533 3043158036 4057544048 4617205296 5579123066 6086316072 8368684599 11158246132 12172632144 16737369198 21625660411 22316492264 33474738396 43251320822 44632984528 64876981233 66949476792 86502641644 129753962466 133898953584 173005283288 237882264521 259507924932 346010566576 475764529042 519015849864 627144151919 713646793563 951529058084 1038031699728 1254288303838 1427293587126 1881432455757 1903058116168 2508576607676 2854587174252 3762864911514 3806116232336 5017153215352 5709174348504 6898585671109 7525729823028 10034306430704 11418348697008 13797171342218 15051459646056 20695757013327 27594342684436 30102919292112 41391514026654 55188685368872 82783028053308 110377370737744 165566056106616 331132112213232