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311241334113 = 33293740926267
BaseRepresentation
bin1001000011101110110…
…11011101110101100001
31002202100221110222011000
410201313123131311201
520044410240142423
6354552101542213
731325564455233
oct4416733356541
91082327428130
10311241334113
1110aaa6689a76
12503a2114969
1323471a533b8
14110c80b4253
15816951e843
hex48776ddd61

311241334113 has 64 divisors (see below), whose sum is σ = 491106528000. Its totient is φ = 194440684032.

The previous prime is 311241334069. The next prime is 311241334163. The reversal of 311241334113 is 311433142113.

311241334113 is a `hidden beast` number, since 3 + 1 + 1 + 241 + 3 + 3 + 411 + 3 = 666.

It is not a de Polignac number, because 311241334113 - 28 = 311241333857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (311241334163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11836006 + ... + 11862272.

It is an arithmetic number, because the mean of its divisors is an integer number (7673539500).

Almost surely, 2311241334113 is an apocalyptic number.

It is an amenable number.

311241334113 is a deficient number, since it is larger than the sum of its proper divisors (179865193887).

311241334113 is a wasteful number, since it uses less digits than its factorization.

311241334113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26751 (or 26745 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 311241334113 its reverse (311433142113), we get a palindrome (622674476226).

The spelling of 311241334113 in words is "three hundred eleven billion, two hundred forty-one million, three hundred thirty-four thousand, one hundred thirteen".

Divisors: 1 3 9 27 29 37 87 111 261 333 409 783 999 1073 1227 3219 3681 9657 11043 11861 15133 26267 28971 35583 45399 78801 106749 136197 236403 320247 408591 438857 709209 761743 971879 1316571 2285229 2915637 3949713 6855687 8746911 10743203 11849139 20567061 26240733 28184491 32229609 84553473 96688827 253660419 290066481 311552887 397498511 760981257 934658661 1192495533 2803975983 3577486599 8411927949 10732459797 11527456819 34582370457 103747111371 311241334113