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211345435301013 = 32139718622383937
BaseRepresentation
bin110000000011011110110001…
…100110001001010010010101
31000201022102111202202012102100
4300003132301212021102111
5210200140422414113023
62025254430322232313
762342126623231116
oct6003366146112225
91021272452665370
10211345435301013
1161383106510702
121b8541b27b5699
1390c0a34674020
143a292606c020d
1519678a6b7dc43
hexc037b1989495

211345435301013 has 24 divisors (see below), whose sum is σ = 332148839918168. Its totient is φ = 128717917765632.

The previous prime is 211345435300963. The next prime is 211345435301023. The reversal of 211345435301013 is 310103534543112.

211345435301013 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 4 + 543 + 5 + 3 + 0 + 101 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28788397092324 + 182557038208689 = 5365482^2 + 13511367^2 .

It is not a de Polignac number, because 211345435301013 - 28 = 211345435300757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211345435301023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9311180620 + ... + 9311203317.

Almost surely, 2211345435301013 is an apocalyptic number.

It is an amenable number.

211345435301013 is a deficient number, since it is larger than the sum of its proper divisors (120803404617155).

211345435301013 is a wasteful number, since it uses less digits than its factorization.

211345435301013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18622384053 (or 18622384050 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 211345435301013 its reverse (310103534543112), we get a palindrome (521448969844125).

The spelling of 211345435301013 in words is "two hundred eleven trillion, three hundred forty-five billion, four hundred thirty-five million, three hundred one thousand, thirteen".

Divisors: 1 3 9 13 39 97 117 291 873 1261 3783 11349 18622383937 55867151811 167601455433 242090991181 726272973543 1806371241889 2178818920629 5419113725667 16257341177001 23482826144557 70448478433671 211345435301013