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13613100131 = 151263373919
BaseRepresentation
bin11001010110110011…
…10110110001100011
31022010201110010201202
430223121312301203
5210334423201011
610130451551415
7661226304401
oct145331666143
938121403652
1013613100131
115856270684
12277abbb56b
13138c406247
14931d62471
1554a1ab23b
hex32b676c63

13613100131 has 16 divisors (see below), whose sum is σ = 13807242240. Its totient is φ = 13420792800.

The previous prime is 13613100101. The next prime is 13613100157. The reversal of 13613100131 is 13100131631.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13613100131 is a prime.

It is a super-2 number, since 2×136131001312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13613100101) 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, 14812490 + ... + 14813408.

It is an arithmetic number, because the mean of its divisors is an integer number (862952640).

Almost surely, 213613100131 is an apocalyptic number.

13613100131 is a deficient number, since it is larger than the sum of its proper divisors (194142109).

13613100131 is a wasteful number, since it uses less digits than its factorization.

13613100131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 13613100131 its reverse (13100131631), we get a palindrome (26713231762).

The spelling of 13613100131 in words is "thirteen billion, six hundred thirteen million, one hundred thousand, one hundred thirty-one".

Divisors: 1 151 263 373 919 39713 56323 98099 138769 241697 342787 14812949 36496247 51760837 90152981 13613100131