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131122100031 = 3133362105129
BaseRepresentation
bin111101000011101111…
…1000111011100111111
3110112110010100211111020
41322013133013130333
54122014224200111
6140123041355223
712321220314006
oct1720737073477
9415403324436
10131122100031
115067700952a
12214b4638b13
13c4984c2750
1464bc51bc3d
153626612906
hex1e877c773f

131122100031 has 8 divisors (see below), whose sum is σ = 188277887280. Its totient is φ = 80690523072.

The previous prime is 131122099993. The next prime is 131122100051. The reversal of 131122100031 is 130001221131.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131122100031 - 229 = 130585229119 is a prime.

It is a super-2 number, since 2×1311221000312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131122100051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1681052526 + ... + 1681052603.

It is an arithmetic number, because the mean of its divisors is an integer number (23534735910).

Almost surely, 2131122100031 is an apocalyptic number.

131122100031 is a deficient number, since it is larger than the sum of its proper divisors (57155787249).

131122100031 is a wasteful number, since it uses less digits than its factorization.

131122100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362105145.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131122100031 its reverse (130001221131), we get a palindrome (261123321162).

The spelling of 131122100031 in words is "one hundred thirty-one billion, one hundred twenty-two million, one hundred thousand, thirty-one".

Divisors: 1 3 13 39 3362105129 10086315387 43707366677 131122100031