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232123122320 = 24513721179117
BaseRepresentation
bin1101100000101110011…
…1011100001010010000
3211012011001121101011112
43120023213130022100
512300342004403240
6254345204032452
722525140661565
oct3301347341220
9735131541145
10232123122320
118a4964a6481
1238ba1692728
1318b7350976b
14b3404b486c
156088681665
hex360b9dc290

232123122320 has 40 divisors (see below), whose sum is σ = 543625600824. Its totient is φ = 92171512832.

The previous prime is 232123122269. The next prime is 232123122347. The reversal of 232123122320 is 23221321232.

It can be written as a sum of positive squares in 4 ways, for example, as 11910666496 + 220212455824 = 109136^2 + 469268^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2321231223202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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, 10578599 + ... + 10600518.

Almost surely, 2232123122320 is an apocalyptic number.

232123122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232123122320 is an abundant number, since it is smaller than the sum of its proper divisors (311502478504).

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

232123122320 is a wasteful number, since it uses less digits than its factorization.

232123122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21179267 (or 21179261 counting only the distinct ones).

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

Adding to 232123122320 its reverse (23221321232), we get a palindrome (255344443552).

The spelling of 232123122320 in words is "two hundred thirty-two billion, one hundred twenty-three million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 21179117 42358234 84716468 105895585 169432936 211791170 338865872 423582340 847164680 1694329360 2901539029 5803078058 11606156116 14507695145 23212312232 29015390290 46424624464 58030780580 116061561160 232123122320