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2131242421312 = 26101329709533
BaseRepresentation
bin11111000000110111111…
…100101000110001000000
321112202002221121122020001
4133000313330220301000
5234404241024440222
64311025041325344
7306656113452004
oct37006774506100
97482087548201
102131242421312
11751944870494
122a5070936854
13125c8a964034
147521cd6c704
153a689e5ae27
hex1f037f28c40

2131242421312 has 28 divisors (see below), whose sum is σ = 4271057303436. Its totient is φ = 1055070502400.

The previous prime is 2131242421303. The next prime is 2131242421367.

2131242421312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1812857587776 + 318384833536 = 1346424^2 + 564256^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164848303 + ... + 164861230.

It is an arithmetic number, because the mean of its divisors is an integer number (152537760837).

Almost surely, 22131242421312 is an apocalyptic number.

It is an amenable number.

2131242421312 is an abundant number, since it is smaller than the sum of its proper divisors (2139814882124).

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

2131242421312 is a wasteful number, since it uses less digits than its factorization.

2131242421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329709646 (or 329709636 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The spelling of 2131242421312 in words is "two trillion, one hundred thirty-one billion, two hundred forty-two million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 3232 6464 329709533 659419066 1318838132 2637676264 5275352528 10550705056 21101410112 33300662833 66601325666 133202651332 266405302664 532810605328 1065621210656 2131242421312