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10131010232 = 23710110916433
BaseRepresentation
bin10010110111101101…
…01111001010111000
3222011001021122101012
421123312233022320
5131222014311412
64353142413052
7506025110660
oct113366571270
928131248335
1010131010232
114329766a32
121b68a31188
13c55b9aa15
146c17071a0
153e463ac22
hex25bdaf2b8

10131010232 has 64 divisors (see below), whose sum is σ = 22126737600. Its totient is φ = 4259174400.

The previous prime is 10131010213. The next prime is 10131010237. The reversal of 10131010232 is 23201013101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131010237) 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, 608288 + ... + 624720.

It is an arithmetic number, because the mean of its divisors is an integer number (345730275).

Almost surely, 210131010232 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 10131010232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11063368800).

10131010232 is an abundant number, since it is smaller than the sum of its proper divisors (11995727368).

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

10131010232 is a wasteful number, since it uses less digits than its factorization.

10131010232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16656 (or 16652 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10131010232 its reverse (23201013101), we get a palindrome (33332023333).

The spelling of 10131010232 in words is "ten billion, one hundred thirty-one million, ten thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 101 109 202 218 404 436 707 763 808 872 1414 1526 2828 3052 5656 6104 11009 16433 22018 32866 44036 65732 77063 88072 115031 131464 154126 230062 308252 460124 616504 920248 1659733 1791197 3319466 3582394 6638932 7164788 11618131 12538379 13277864 14329576 23236262 25076758 46472524 50153516 92945048 100307032 180910897 361821794 723643588 1266376279 1447287176 2532752558 5065505116 10131010232