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131102022113 = 1924177337039
BaseRepresentation
bin111101000011001001…
…0100001100111100001
3110112101201120202202122
41322012102201213201
54121444104201423
6140121043154025
712320554541546
oct1720622414741
9415351522678
10131102022113
1150666745707
12214a9975915
13c4942b2a1a
1464b99b2bcd
1536249988c8
hex1e864a19e1

131102022113 has 16 divisors (see below), whose sum is σ = 138757766400. Its totient is φ = 123523211520.

The previous prime is 131102022083. The next prime is 131102022131. The reversal of 131102022113 is 311220201131.

It is a cyclic number.

It is not a de Polignac number, because 131102022113 - 228 = 130833586657 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131102022091 and 131102022100.

It is not an unprimeable number, because it can be changed into a prime (131102022173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3521048 + ... + 3558086.

It is an arithmetic number, because the mean of its divisors is an integer number (8672360400).

Almost surely, 2131102022113 is an apocalyptic number.

It is an amenable number.

131102022113 is a deficient number, since it is larger than the sum of its proper divisors (7655744287).

131102022113 is a wasteful number, since it uses less digits than its factorization.

131102022113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38072.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 131102022113 its reverse (311220201131), we get a palindrome (442322223244).

The spelling of 131102022113 in words is "one hundred thirty-one billion, one hundred two million, twenty-two thousand, one hundred thirteen".

Divisors: 1 19 241 773 4579 14687 37039 186293 703741 3539567 8926399 28631147 169601581 543991793 6900106427 131102022113