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232101232320 = 2635241772117
BaseRepresentation
bin1101100000101001001…
…1111011111011000000
3211012002112102020201210
43120022103323323000
512300320403413240
6254343102530120
722524453631416
oct3301223737300
9735075366653
10232101232320
118a485105171
1238b96296940
1318b6bb13cb9
14b33b6172b6
1560867aa780
hex360a4fbec0

232101232320 has 56 divisors (see below), whose sum is σ = 736921415664. Its totient is φ = 61893661696.

The previous prime is 232101232313. The next prime is 232101232333. The reversal of 232101232320 is 23232101232.

It is a happy number.

232101232320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2321012323202 (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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120885099 + ... + 120887018.

It is an arithmetic number, because the mean of its divisors is an integer number (13159310994).

Almost surely, 2232101232320 is an apocalyptic number.

232101232320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232101232320 is an abundant number, since it is smaller than the sum of its proper divisors (504820183344).

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

232101232320 is a wasteful number, since it uses less digits than its factorization.

232101232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241772137 (or 241772127 counting only the distinct ones).

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

Adding to 232101232320 its reverse (23232101232), we get a palindrome (255333333552).

The spelling of 232101232320 in words is "two hundred thirty-two billion, one hundred one million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 241772117 483544234 725316351 967088468 1208860585 1450632702 1934176936 2417721170 2901265404 3626581755 3868353872 4835442340 5802530808 7253163510 7736707744 9670884680 11605061616 14506327020 15473415488 19341769360 23210123232 29012654040 38683538720 46420246464 58025308080 77367077440 116050616160 232101232320