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4112121312 = 2532132833881
BaseRepresentation
bin1111010100011001…
…1111110111100000
3101121120200101222100
43311012133313200
531410200340222
61520013010400
7203621311605
oct36506376740
911546611870
104112121312
111820204672
12969183a00
13506c1a4a0
142b01bc6ac
151910214ac
hexf519fde0

4112121312 has 144 divisors (see below), whose sum is σ = 12641127408. Its totient is φ = 1260472320.

The previous prime is 4112121283. The next prime is 4112121319. The reversal of 4112121312 is 2131212114.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112121319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1057612 + ... + 1061492.

It is an arithmetic number, because the mean of its divisors is an integer number (87785607).

Almost surely, 24112121312 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 4112121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320563704).

4112121312 is an abundant number, since it is smaller than the sum of its proper divisors (8529006096).

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

4112121312 is a wasteful number, since it uses less digits than its factorization.

4112121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4182 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 4112121312 is about 64125.8240648804. The cubic root of 4112121312 is about 1602.0963812082.

Adding to 4112121312 its reverse (2131212114), we get a palindrome (6243333426).

The spelling of 4112121312 in words is "four billion, one hundred twelve million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 283 288 312 416 468 566 624 849 936 1132 1248 1698 1872 2264 2547 3396 3679 3744 3881 4528 5094 6792 7358 7762 9056 10188 11037 11643 13584 14716 15524 20376 22074 23286 27168 29432 31048 33111 34929 40752 44148 46572 50453 58864 62096 66222 69858 81504 88296 93144 100906 117728 124192 132444 139716 151359 176592 186288 201812 264888 279432 302718 353184 372576 403624 454077 529776 558864 605436 807248 908154 1059552 1098323 1117728 1210872 1614496 1816308 2196646 2421744 3294969 3632616 4393292 4843488 6589938 7265232 8786584 9884907 13179876 14278199 14530464 17573168 19769814 26359752 28556398 35146336 39539628 42834597 52719504 57112796 79079256 85669194 105439008 114225592 128503791 158158512 171338388 228451184 257007582 316317024 342676776 456902368 514015164 685353552 1028030328 1370707104 2056060656 4112121312