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10112213232 = 2433112973379
BaseRepresentation
bin10010110101011110…
…00010000011110000
3222002201220122202000
421122233002003300
5131202211310412
64351231454000
7505406252142
oct113257020360
928081818660
1010112213232
11431a098520
121b62687300
13c52019034
146bd012c92
153e2b764dc
hex25abc20f0

10112213232 has 160 divisors (see below), whose sum is σ = 32756832000. Its totient is φ = 2958600960.

The previous prime is 10112213219. The next prime is 10112213233. The reversal of 10112213232 is 23231221101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112213233) 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, 101119 + ... + 174497.

It is an arithmetic number, because the mean of its divisors is an integer number (204730200).

Almost surely, 210112213232 is an apocalyptic number.

10112213232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378416000).

10112213232 is an abundant number, since it is smaller than the sum of its proper divisors (22644618768).

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

10112213232 is a wasteful number, since it uses less digits than its factorization.

10112213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73436 (or 73424 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10112213232 its reverse (23231221101), we get a palindrome (33343434333).

The spelling of 10112213232 in words is "ten billion, one hundred twelve million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 33 36 44 48 54 58 66 72 87 88 99 108 116 132 144 174 176 198 216 232 261 264 297 319 348 396 432 464 522 528 594 638 696 783 792 957 1044 1188 1276 1392 1566 1584 1914 2088 2376 2552 2871 3132 3828 4176 4752 5104 5742 6264 7656 8613 11484 12528 15312 17226 22968 34452 45936 68904 73379 137808 146758 220137 293516 440274 587032 660411 807169 880548 1174064 1320822 1614338 1761096 1981233 2127991 2421507 2641644 3228676 3522192 3962466 4255982 4843014 5283288 6383973 6457352 7264521 7924932 8511964 9686028 10566576 12767946 12914704 14529042 15849864 17023928 19151919 19372056 21793563 23407901 25535892 29058084 31699728 34047856 38303838 38744112 43587126 46815802 51071784 57455757 58116168 70223703 76607676 87174252 93631604 102143568 114911514 116232336 140447406 153215352 174348504 187263208 210671109 229823028 280894812 306430704 348697008 374526416 421342218 459646056 561789624 632013327 842684436 919292112 1123579248 1264026654 1685368872 2528053308 3370737744 5056106616 10112213232