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132301125022230 = 23351932538881693
BaseRepresentation
bin11110000101001111000001…
…100011110111001000010110
3122100102212022212201012212000
4132011033001203313020112
5114320110201001202410
61145214144153140130
736603304132522323
oct3605170143671026
9570385285635760
10132301125022230
1139178656aa014a
1212a08a170ba646
1358a8c33a4a188
1424955a1363b4a
1510466c88aedc0
hex7853c18f7216

132301125022230 has 64 divisors (see below), whose sum is σ = 354630995017920. Its totient is φ = 35097500510208.

The previous prime is 132301125022181. The next prime is 132301125022243. The reversal of 132301125022230 is 32220521103231.

132301125022230 is a `hidden beast` number, since 1 + 3 + 2 + 301 + 125 + 0 + 2 + 2 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132301125022194 and 132301125022203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1269388737 + ... + 1269492956.

It is an arithmetic number, because the mean of its divisors is an integer number (5541109297155).

Almost surely, 2132301125022230 is an apocalyptic number.

132301125022230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132301125022230 is an abundant number, since it is smaller than the sum of its proper divisors (222329869995690).

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

132301125022230 is a wasteful number, since it uses less digits than its factorization.

132301125022230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538881902 (or 2538881896 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 132301125022230 its reverse (32220521103231), we get a palindrome (164521646125461).

The spelling of 132301125022230 in words is "one hundred thirty-two trillion, three hundred one billion, one hundred twenty-five million, twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 193 270 386 579 965 1158 1737 1930 2895 3474 5211 5790 8685 10422 17370 26055 52110 2538881693 5077763386 7616645079 12694408465 15233290158 22849935237 25388816930 38083225395 45699870474 68549805711 76166450790 114249676185 137099611422 228499352370 342749028555 490004166749 685498057110 980008333498 1470012500247 2450020833745 2940025000494 4410037500741 4900041667490 7350062501235 8820075001482 13230112502223 14700125002470 22050187503705 26460225004446 44100375007410 66150562511115 132301125022230