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10132423232 = 26172547817
BaseRepresentation
bin10010110111111000…
…01000001001000000
3222011010221102122112
421123330020021000
5131222400020412
64353232554452
7506043114341
oct113374101100
928133842575
1010132423232
11432a5415a8
121b693b2a28
13c56273c09
146c19940c8
153e4819722
hex25bf08240

10132423232 has 42 divisors (see below), whose sum is σ = 21358876002. Its totient is φ = 4768190464.

The previous prime is 10132423219. The next prime is 10132423237. The reversal of 10132423232 is 23232423101.

It can be written as a sum of positive squares in 3 ways, for example, as 6447447616 + 3684975616 = 80296^2 + 60704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10132423198 and 10132423207.

It is not an unprimeable number, because it can be changed into a prime (10132423237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255413 + ... + 292404.

Almost surely, 210132423232 is an apocalyptic number.

It is an amenable number.

10132423232 is an abundant number, since it is smaller than the sum of its proper divisors (11226452770).

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

10132423232 is an equidigital number, since it uses as much as digits as its factorization.

10132423232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547863 (or 547836 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10132423232 its reverse (23232423101), we get a palindrome (33364846333).

The spelling of 10132423232 in words is "ten billion, one hundred thirty-two million, four hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 9248 18496 547817 1095634 2191268 4382536 8765072 9312889 17530144 18625778 35060288 37251556 74503112 149006224 158319113 298012448 316638226 596024896 633276452 1266552904 2533105808 5066211616 10132423232