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10131025344 = 263114999613
BaseRepresentation
bin10010110111101101…
…10010110111000000
3222011001022102002220
421123312302313000
5131222020302334
64353143011040
7506025203016
oct113366626700
928131272086
1010131025344
114329777320
121b68a39a80
13c55ba486b
146c170c8b6
153e4640449
hex25bdb2dc0

10131025344 has 112 divisors (see below), whose sum is σ = 29303472000. Its totient is φ = 3063536640.

The previous prime is 10131025319. The next prime is 10131025379. The reversal of 10131025344 is 44352013101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1049082 + ... + 1058694.

Almost surely, 210131025344 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 10131025344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651736000).

10131025344 is an abundant number, since it is smaller than the sum of its proper divisors (19172446656).

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

10131025344 is a wasteful number, since it uses less digits than its factorization.

10131025344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10138 (or 10128 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10131025344 its reverse (44352013101), we get a palindrome (54483038445).

The spelling of 10131025344 in words is "ten billion, one hundred thirty-one million, twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 499 528 704 998 1056 1497 1996 2112 2994 3992 5489 5988 7984 9613 10978 11976 15968 16467 19226 21956 23952 28839 31936 32934 38452 43912 47904 57678 65868 76904 87824 95808 105743 115356 131736 153808 175648 211486 230712 263472 307616 317229 351296 422972 461424 526944 615232 634458 845944 922848 1053888 1268916 1691888 1845696 2537832 3383776 4796887 5075664 6767552 9593774 10151328 14390661 19187548 20302656 28781322 38375096 52765757 57562644 76750192 105531514 115125288 153500384 158297271 211063028 230250576 307000768 316594542 422126056 460501152 633189084 844252112 921002304 1266378168 1688504224 2532756336 3377008448 5065512672 10131025344