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22131321132000 = 253531844276761
BaseRepresentation
bin1010000100000110110011…
…00010001101001111100000
32220100201210211012001122110
411002003121202031033200
510400044421202211000
6115022553310435320
74442635524520053
oct502033142151740
986321724161573
1022131321132000
1170629278a8a83
122595246802b40
13c46c89346332
14567239838a9a
15285a46b8d850
hex1420d988d3e0

22131321132000 has 96 divisors (see below), whose sum is σ = 72502208067744. Its totient is φ = 5901685632000.

The previous prime is 22131321131989. The next prime is 22131321132079. The reversal of 22131321132000 is 23112313122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×221313211320002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922126381 + ... + 922150380.

It is an arithmetic number, because the mean of its divisors is an integer number (755231334039).

Almost surely, 222131321132000 is an apocalyptic number.

22131321132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131321132000 is an abundant number, since it is smaller than the sum of its proper divisors (50370886935744).

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

22131321132000 is a wasteful number, since it uses less digits than its factorization.

22131321132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844276789 (or 1844276771 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 22131321132000 its reverse (23112313122), we get a palindrome (22154433445122).

The spelling of 22131321132000 in words is "twenty-two trillion, one hundred thirty-one billion, three hundred twenty-one million, one hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1844276761 3688553522 5532830283 7377107044 9221383805 11065660566 14754214088 18442767610 22131321132 27664151415 29508428176 36885535220 44262642264 46106919025 55328302830 59016856352 73771070440 88525284528 92213838050 110656605660 138320757075 147542140880 177050569056 184427676100 221313211320 230534595125 276641514150 295084281760 368855352200 442626422640 461069190250 553283028300 691603785375 737710704400 885252845280 922138380500 1106566056600 1383207570750 1475421408800 1844276761000 2213132113200 2766415141500 3688553522000 4426264226400 5532830283000 7377107044000 11065660566000 22131321132000