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213014317229892 = 223237797200653273
BaseRepresentation
bin110000011011110001000010…
…101101011110011101000100
31000221012222012000112020000200
4300123301002231132131010
5210410011310202324032
62033013232034010500
762603530233455223
oct6033610255363504
91027188160466020
10213014317229892
1161966956893842
121ba83727a16a30
1391b22191a7559
143a85d3b2dccba
151995ed061d47c
hexc1bc42b5e744

213014317229892 has 72 divisors (see below), whose sum is σ = 553699499150616. Its totient is φ = 68999041949184.

The previous prime is 213014317229843. The next prime is 213014317229969. The reversal of 213014317229892 is 298922713410312.

213014317229892 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 14 + 317 + 229 + 8 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130902338857536 + 82111978372356 = 11441256^2 + 9061566^2 .

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 23 ways as a sum of consecutive naturals, for example, 99265033 + ... + 101388240.

Almost surely, 2213014317229892 is an apocalyptic number.

It is an amenable number.

213014317229892 is an abundant number, since it is smaller than the sum of its proper divisors (340685181920724).

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

213014317229892 is a wasteful number, since it uses less digits than its factorization.

213014317229892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200654117 (or 200654112 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 213014317229892 in words is "two hundred thirteen trillion, fourteen billion, three hundred seventeen million, two hundred twenty-nine thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 797 1332 1594 2391 3188 4782 7173 9564 14346 28692 29489 58978 88467 117956 176934 265401 353868 530802 1061604 200653273 401306546 601959819 802613092 1203919638 1805879457 2407839276 3611758914 7223517828 7424171101 14848342202 22272513303 29696684404 44545026606 66817539909 89090053212 133635079818 159920658581 267270159636 319841317162 479761975743 639682634324 959523951486 1439285927229 1919047902972 2878571854458 5757143708916 5917064367497 11834128734994 17751193102491 23668257469988 35502386204982 53253579307473 71004772409964 106507158614946 213014317229892