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211110111000131 = 7349353244799689
BaseRepresentation
bin110000000000000011100111…
…001011001011011001000011
31000200110221002121120002210212
4300000003213023023121003
5210132312001404001011
62024554351321544335
762316126231540140
oct6000034713133103
91020427077502725
10211110111000131
11612a2328037412
121b8166790450ab
1390a47a0ba5485
143a1bad8dd53c7
1519616d246a08b
hexc000e72cb643

211110111000131 has 16 divisors (see below), whose sum is σ = 242645452728000. Its totient is φ = 179921895487488.

The previous prime is 211110111000109. The next prime is 211110111000211. The reversal of 211110111000131 is 131000111011112.

It is not a de Polignac number, because 211110111000131 - 210 = 211110110999107 is a prime.

It is a super-2 number, since 2×2111101110001312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211110111000101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 121537466 + ... + 123262223.

It is an arithmetic number, because the mean of its divisors is an integer number (15165340795500).

Almost surely, 2211110111000131 is an apocalyptic number.

211110111000131 is a deficient number, since it is larger than the sum of its proper divisors (31535341727869).

211110111000131 is a wasteful number, since it uses less digits than its factorization.

211110111000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244800398.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 211110111000131 its reverse (131000111011112), we get a palindrome (342110222011243).

The spelling of 211110111000131 in words is "two hundred eleven trillion, one hundred ten billion, one hundred eleven million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 7 349 353 2443 2471 123197 862379 244799689 1713597823 85435091461 86414290217 598045640227 604900031519 30158587285733 211110111000131