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3104114114013 = 311219952382163
BaseRepresentation
bin101101001010111011100…
…111100111110111011101
3101222202021001100021010220
4231022323213213313131
5401324211203122023
610334002122151553
7440156561424063
oct55127347476735
911882231307126
103104114114013
11a974a1547600
124217216525b9
131969417a6b23
14aa3504d4033
1555b29c453e3
hex2d2bb9e7ddd

3104114114013 has 48 divisors (see below), whose sum is σ = 4580938790400. Its totient is φ = 1868225847840.

The previous prime is 3104114113927. The next prime is 3104114114027.

3104114114013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3104114114013 - 212 = 3104114109917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3104114114053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37738870 + ... + 37821032.

It is an arithmetic number, because the mean of its divisors is an integer number (95436224800).

Almost surely, 23104114114013 is an apocalyptic number.

3104114114013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3104114114013 is a deficient number, since it is larger than the sum of its proper divisors (1476824676387).

3104114114013 is a wasteful number, since it uses less digits than its factorization.

3104114114013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82910 (or 82899 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 3104114114013 in words is "three trillion, one hundred four billion, one hundred fourteen million, one hundred fourteen thousand, thirteen".

Divisors: 1 3 11 33 121 199 363 523 597 1569 2189 5753 6567 17259 24079 63283 72237 82163 104077 189849 246489 312231 903793 1144847 2711379 3434541 9941723 12593317 16350437 29825169 37779951 42971249 49051311 128913747 179854807 472683739 539564421 1418051217 1978402877 5199521129 5935208631 8551278551 15598563387 25653835653 94064064061 282192192183 1034704704671 3104114114013