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10132332232 = 23112317927967
BaseRepresentation
bin10010110111110111…
…10001111011001000
3222011010202210211011
421123323301323020
5131222334112412
64353231013304
7506042255131
oct113373617310
928133683734
1010132332232
11432a48a1a0
121b6936a234
13c56241679
146c196cc88
153e47ec7a7
hex25bef1ec8

10132332232 has 64 divisors (see below), whose sum is σ = 21747916800. Its totient is φ = 4380594240.

The previous prime is 10132332193. The next prime is 10132332251. The reversal of 10132332232 is 23223323101.

It is a super-2 number, since 2×101323322322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 348313 + ... + 376279.

It is an arithmetic number, because the mean of its divisors is an integer number (339811200).

Almost surely, 210132332232 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 10132332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10873958400).

10132332232 is an abundant number, since it is smaller than the sum of its proper divisors (11615584568).

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

10132332232 is a wasteful number, since it uses less digits than its factorization.

10132332232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28186 (or 28182 counting only the distinct ones).

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

Adding to 10132332232 its reverse (23223323101), we get a palindrome (33355655333).

The spelling of 10132332232 in words is "ten billion, one hundred thirty-two million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 179 184 253 358 506 716 1012 1432 1969 2024 3938 4117 7876 8234 15752 16468 27967 32936 45287 55934 90574 111868 181148 223736 307637 362296 615274 643241 1230548 1286482 2461096 2572964 5006093 5145928 7075651 10012186 14151302 20024372 28302604 40048744 55067023 56605208 110134046 115140139 220268092 230280278 440536184 460560556 921121112 1266541529 2533083058 5066166116 10132332232