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13202433420231 = 31110931097333667
BaseRepresentation
bin1100000000011110111001…
…0110101010101111000111
31201202010210021200202210010
43000013232112222233013
53212302040423421411
644025040355201303
72531562415314126
oct300075626525707
951663707622703
1013202433420231
11423013652a5a0
1215928782a6233
13749ca4194c03
14339003385abd
1517d65b5847a6
hexc01ee5aabc7

13202433420231 has 32 divisors (see below), whose sum is σ = 19238688269568. Its totient is φ = 7986842922240.

The previous prime is 13202433420223. The next prime is 13202433420311.

It is a happy number.

13202433420231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13202433420231 - 23 = 13202433420223 is a prime.

It is a super-2 number, since 2×132024334202312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202433420431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39400860 + ... + 39734526.

It is an arithmetic number, because the mean of its divisors is an integer number (601209008424).

Almost surely, 213202433420231 is an apocalyptic number.

13202433420231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13202433420231 is a deficient number, since it is larger than the sum of its proper divisors (6036254849337).

13202433420231 is a wasteful number, since it uses less digits than its factorization.

13202433420231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335871.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 1320243 and 3420231, that added together give a palindrome (4740474).

The spelling of 13202433420231 in words is "thirteen trillion, two hundred two billion, four hundred thirty-three million, four hundred twenty thousand, two hundred thirty-one".

Divisors: 1 3 11 33 1093 1097 3279 3291 12023 12067 36069 36201 333667 1001001 1199021 3597063 3670337 11011011 13189231 39567693 364698031 366032699 1094094093 1098098097 4011678341 4026359689 12035035023 12079079067 400073740007 1200221220021 4400811140077 13202433420231