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10123233232 = 2472910130859
BaseRepresentation
bin10010110110110010…
…00100011111010000
3222010111122112100011
421123121010133100
5131213021430412
64352304004304
7505602030340
oct113331043720
928114575304
1010123233232
114325334a62
121b66300694
13c543a6c48
146c0680d20
153e3b017a7
hex25b6447d0

10123233232 has 80 divisors (see below), whose sum is σ = 23419036800. Its totient is φ = 4147315200.

The previous prime is 10123233229. The next prime is 10123233233. The reversal of 10123233232 is 23233232101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123233233) 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, 312619 + ... + 343477.

It is an arithmetic number, because the mean of its divisors is an integer number (292737960).

Almost surely, 210123233232 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 10123233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11709518400).

10123233232 is an abundant number, since it is smaller than the sum of its proper divisors (13295803568).

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

10123233232 is a wasteful number, since it uses less digits than its factorization.

10123233232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31004 (or 30998 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10123233232 its reverse (23233232101), we get a palindrome (33356465333).

It can be divided in two parts, 101 and 23233232, that multiplied together give a palindrome (2346556432).

The spelling of 10123233232 in words is "ten billion, one hundred twenty-three million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 101 112 116 202 203 232 404 406 464 707 808 812 1414 1616 1624 2828 2929 3248 5656 5858 11312 11716 20503 23432 30859 41006 46864 61718 82012 123436 164024 216013 246872 328048 432026 493744 864052 894911 1728104 1789822 3116759 3456208 3579644 6233518 6264377 7159288 12467036 12528754 14318576 21817313 24934072 25057508 43634626 49868144 50115016 87269252 90386011 100230032 174538504 180772022 349077008 361544044 632702077 723088088 1265404154 1446176176 2530808308 5061616616 10123233232