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214130311104 = 2632574339541
BaseRepresentation
bin1100011101101100101…
…0010011111111000000
3202110201002221212022010
43013123022103333000
512002014324423404
6242211535412520
721320230420203
oct3073312237700
9673632855263
10214130311104
11828a2a84066
12355bb984140
13172669252c8
14a5149d993a
155883c48189
hex31db293fc0

214130311104 has 56 divisors (see below), whose sum is σ = 568757732688. Its totient is φ = 71099023360.

The previous prime is 214130311091. The next prime is 214130311123. The reversal of 214130311104 is 401113031412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2120427 + ... + 2219114.

Almost surely, 2214130311104 is an apocalyptic number.

214130311104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214130311104 is an abundant number, since it is smaller than the sum of its proper divisors (354627421584).

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

214130311104 is a wasteful number, since it uses less digits than its factorization.

214130311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4339813 (or 4339803 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 214130311104 its reverse (401113031412), we get a palindrome (615243342516).

The spelling of 214130311104 in words is "two hundred fourteen billion, one hundred thirty million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 257 514 771 1028 1542 2056 3084 4112 6168 8224 12336 16448 24672 49344 4339541 8679082 13018623 17358164 26037246 34716328 52074492 69432656 104148984 138865312 208297968 277730624 416595936 833191872 1115262037 2230524074 3345786111 4461048148 6691572222 8922096296 13383144444 17844192592 26766288888 35688385184 53532577776 71376770368 107065155552 214130311104