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206168131 = 1341503769
BaseRepresentation
bin11000100100111…
…10000001000011
3112100221102111201
430102132001003
5410234340011
632242522031
75052254161
oct1422360103
9470842451
10206168131
11a6416194
1259066317
13339369a0
141d54a231
1513176cc1
hexc49e043

206168131 has 16 divisors (see below), whose sum is σ = 228191040. Its totient is φ = 185057280.

The previous prime is 206168119. The next prime is 206168153. The reversal of 206168131 is 131861602.

It is a cyclic number.

It is not a de Polignac number, because 206168131 - 27 = 206168003 is a prime.

It is a super-2 number, since 2×2061681312 = 85010596480066322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 206168131.

It is not an unprimeable number, because it can be changed into a prime (206168191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267715 + ... + 268483.

It is an arithmetic number, because the mean of its divisors is an integer number (14261940).

Almost surely, 2206168131 is an apocalyptic number.

206168131 is a deficient number, since it is larger than the sum of its proper divisors (22022909).

206168131 is a wasteful number, since it uses less digits than its factorization.

206168131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 206168131 is about 14358.5560207146. The cubic root of 206168131 is about 590.7546897013.

The spelling of 206168131 in words is "two hundred six million, one hundred sixty-eight thousand, one hundred thirty-one".

Divisors: 1 13 41 503 533 769 6539 9997 20623 31529 268099 386807 409877 5028491 15859087 206168131