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10132032232 = 23721710611433
BaseRepresentation
bin10010110111110101…
…01000101011101000
3222011010012120022001
421123322220223220
5131222300012412
64353220340344
7506036565400
oct113372505350
928133176261
1010132032232
11432a2a4863
121b692446b4
13c56167c5a
146c18d1800
153e478d957
hex25bea8ae8

10132032232 has 96 divisors (see below), whose sum is σ = 23437554120. Its totient is φ = 4080168960.

The previous prime is 10132032227. The next prime is 10132032259. The reversal of 10132032232 is 23223023101.

It can be written as a sum of positive squares in 4 ways, for example, as 10129617316 + 2414916 = 100646^2 + 1554^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7069788 + ... + 7071220.

Almost surely, 210132032232 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 10132032232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718777060).

10132032232 is an abundant number, since it is smaller than the sum of its proper divisors (13305521888).

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

10132032232 is a wasteful number, since it uses less digits than its factorization.

10132032232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10132032232 its reverse (23223023101), we get a palindrome (33355055333).

The spelling of 10132032232 in words is "ten billion, one hundred thirty-two million, thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1061 1433 1666 2122 2866 3332 4244 5732 6664 7427 8488 10031 11464 14854 18037 20062 24361 29708 36074 40124 48722 51989 59416 70217 72148 80248 97444 103978 126259 140434 144296 170527 194888 207956 252518 280868 341054 415912 505036 561736 682108 883813 1010072 1193689 1364216 1520413 1767626 2387378 3040826 3535252 4774756 6081652 7070504 9549512 10642891 12163304 21285782 25847021 42571564 51694042 74500237 85143128 103388084 149000474 180929147 206776168 298000948 361858294 596001896 723716588 1266504029 1447433176 2533008058 5066016116 10132032232