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103131131411 = 71110113261043
BaseRepresentation
bin110000000001100011…
…0000010111000010011
3100212012101102022001202
41200003012002320103
53142203032201121
6115213334021415
710310454103340
oct1400306027023
9325171368052
10103131131411
113a812920510
1217ba24a786b
139957417719
144dc4c3d7c7
152a3908240b
hex1803182e13

103131131411 has 16 divisors (see below), whose sum is σ = 129852142848. Its totient is φ = 79566252000.

The previous prime is 103131131407. The next prime is 103131131413. The reversal of 103131131411 is 114131131301.

It is a cyclic number.

It is not a de Polignac number, because 103131131411 - 22 = 103131131407 is a prime.

It is a super-2 number, since 2×1031311314112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103131131413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6622745 + ... + 6638298.

It is an arithmetic number, because the mean of its divisors is an integer number (8115758928).

Almost surely, 2103131131411 is an apocalyptic number.

103131131411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103131131411 is a deficient number, since it is larger than the sum of its proper divisors (26721011437).

103131131411 is a wasteful number, since it uses less digits than its factorization.

103131131411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13261162.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 103131131411 its reverse (114131131301), we get a palindrome (217262262712).

The spelling of 103131131411 in words is "one hundred three billion, one hundred thirty-one million, one hundred thirty-one thousand, four hundred eleven".

Divisors: 1 7 11 77 101 707 1111 7777 13261043 92827301 145871473 1021100311 1339365343 9375557401 14733018773 103131131411