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10232021312 = 264367211263
BaseRepresentation
bin10011000011110000…
…00100000101000000
3222102002100112112022
421201320010011000
5131423344140222
64411151421012
7511362513632
oct114170040500
928362315468
1010232021312
114380789067
121b96824768
13c70aa67a6
146d0cbca52
153ed440042
hex261e04140

10232021312 has 112 divisors (see below), whose sum is σ = 21266944512. Its totient is φ = 4880494080.

The previous prime is 10232021311. The next prime is 10232021321. The reversal of 10232021312 is 21312023201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232021311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38904893 + ... + 38905155.

Almost surely, 210232021312 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 10232021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10633472256).

10232021312 is an abundant number, since it is smaller than the sum of its proper divisors (11034923200).

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

10232021312 is a wasteful number, since it uses less digits than its factorization.

10232021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10232021312 its reverse (21312023201), we get a palindrome (31544044513).

The spelling of 10232021312 in words is "ten billion, two hundred thirty-two million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 67 86 134 172 211 263 268 344 422 526 536 688 844 1052 1072 1376 1688 2104 2144 2752 2881 3376 4208 4288 5762 6752 8416 9073 11309 11524 13504 14137 16832 17621 18146 22618 23048 28274 35242 36292 45236 46096 55493 56548 70484 72584 90472 92192 110986 113096 140968 145168 180944 184384 221972 226192 281936 290336 361888 443944 452384 563872 580672 607891 723776 757703 887888 904768 1127744 1215782 1515406 1775776 2386199 2431564 3030812 3551552 3718031 4772398 4863128 6061624 7436062 9544796 9726256 12123248 14872124 19089592 19452512 24246496 29744248 38179184 38905024 48492992 59488496 76358368 118976992 152716736 159875333 237953984 319750666 639501332 1279002664 2558005328 5116010656 10232021312