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10132223232 = 28329454931
BaseRepresentation
bin10010110111110110…
…10111010100000000
3222011010120021022010
421123323113110000
5131222322120412
64353224412520
7506041322265
oct113373272400
928133507263
1010132223232
11432a41530a
121b69317140
13c56203b81
146c194126c
153e47ca33c
hex25bed7500

10132223232 has 72 divisors (see below), whose sum is σ = 27896430240. Its totient is φ = 3260938240.

The previous prime is 10132223183. The next prime is 10132223239. The reversal of 10132223232 is 23232223101.

It is a happy number.

10132223232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10132223199 and 10132223208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132223239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205194 + ... + 249737.

It is an arithmetic number, because the mean of its divisors is an integer number (387450420).

Almost surely, 210132223232 is an apocalyptic number.

10132223232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10132223232 is an abundant number, since it is smaller than the sum of its proper divisors (17764207008).

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

10132223232 is an equidigital number, since it uses as much as digits as its factorization.

10132223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454979 (or 454965 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10132223232 its reverse (23232223101), we get a palindrome (33364446333).

The spelling of 10132223232 in words is "ten billion, one hundred thirty-two million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 3712 5568 7424 11136 22272 454931 909862 1364793 1819724 2729586 3639448 5459172 7278896 10918344 13192999 14557792 21836688 26385998 29115584 39578997 43673376 52771996 58231168 79157994 87346752 105543992 116462336 158315988 174693504 211087984 316631976 349387008 422175968 633263952 844351936 1266527904 1688703872 2533055808 3377407744 5066111616 10132223232