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132430111502112 = 25321388293312181
BaseRepresentation
bin11110000111000111001001…
…110000001110111100100000
3122100220012021011112022020200
4132013013021300032330200
5114324213332021031422
61145353315305105200
736615521421515454
oct3607071160167440
9570805234468220
10132430111502112
1139218327551646
1212a29a14488200
1358b814b95c958
14249b919da2664
151049c277712ac
hex7871c9c0ef20

132430111502112 has 72 divisors (see below), whose sum is σ = 376600955962140. Its totient is φ = 44143039203840.

The previous prime is 132430111501951. The next prime is 132430111502113. The reversal of 132430111502112 is 211205111034231.

132430111502112 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 30 + 1 + 11 + 502 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125614691177616 + 6815420324496 = 11207796^2 + 2610636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (132430111502113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38326662 + ... + 41638842.

Almost surely, 2132430111502112 is an apocalyptic number.

132430111502112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132430111502112 is an abundant number, since it is smaller than the sum of its proper divisors (244170844460028).

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

132430111502112 is a wasteful number, since it uses less digits than its factorization.

132430111502112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451026 (or 3451015 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 132430111502112 its reverse (211205111034231), we get a palindrome (343635222536343).

The spelling of 132430111502112 in words is "one hundred thirty-two trillion, four hundred thirty billion, one hundred eleven million, five hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 138829 277658 416487 555316 832974 1110632 1249461 1665948 2221264 2498922 3312181 3331896 4442528 4997844 6624362 6663792 9936543 9995688 13248724 13327584 19873086 19991376 26497448 29809629 39746172 39982752 52994896 59619258 79492344 105989792 119238516 158984688 238477032 317969376 476954064 953908128 459826776049 919653552098 1379480328147 1839307104196 2758960656294 3678614208392 4138440984441 5517921312588 7357228416784 8276881968882 11035842625176 14714456833568 16553763937764 22071685250352 33107527875528 44143370500704 66215055751056 132430111502112