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132331121002400 = 2552179924100007
BaseRepresentation
bin11110000101101010111101…
…011101011100011110100000
3122100112201202100102220001112
4132011222331131130132200
5114321103113434034100
61145240024443122452
736605415353246465
oct3605527535343640
9570481670386045
10132331121002400
113918a349a39001
1212a127a8813428
1358aba04335678
142496c0904366c
151047381e92b35
hex785abd75c7a0

132331121002400 has 72 divisors (see below), whose sum is σ = 324858116812320. Its totient is φ = 52636736341760.

The previous prime is 132331121002391. The next prime is 132331121002411. The reversal of 132331121002400 is 4200121133231.

132331121002400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461906804 + ... + 462193203.

It is an arithmetic number, because the mean of its divisors is an integer number (4511918289060).

Almost surely, 2132331121002400 is an apocalyptic number.

132331121002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132331121002400 is an abundant number, since it is smaller than the sum of its proper divisors (192526995809920).

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

132331121002400 is a wasteful number, since it uses less digits than its factorization.

132331121002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924100206 (or 924100193 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 132331121002400 its reverse (4200121133231), we get a palindrome (136531242135631).

The spelling of 132331121002400 in words is "one hundred thirty-two trillion, three hundred thirty-one billion, one hundred twenty-one million, two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 179 200 358 400 716 800 895 1432 1790 2864 3580 4475 5728 7160 8950 14320 17900 28640 35800 71600 143200 924100007 1848200014 3696400028 4620500035 7392800056 9241000070 14785600112 18482000140 23102500175 29571200224 36964000280 46205000350 73928000560 92410000700 147856001120 165413901253 184820001400 330827802506 369640002800 661655605012 739280005600 827069506265 1323311210024 1654139012530 2646622420048 3308278025060 4135347531325 5293244840096 6616556050120 8270695062650 13233112100240 16541390125300 26466224200480 33082780250600 66165560501200 132331121002400