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131123121132101 = 741495792167639
BaseRepresentation
bin11101110100000101111011…
…000011101001001001000101
3122012021020200202120021002112
4131310011323003221021011
5114141310123002211401
61142513044045350405
736422222114623430
oct3564057303511105
9565236622507075
10131123121132101
1138864004562a5a
1212858657b68405
135821b1b5518c7
142454570286817
151025c2ecd53bb
hex77417b0e9245

131123121132101 has 16 divisors (see below), whose sum is σ = 153540965464320. Its totient is φ = 109627875342720.

The previous prime is 131123121132079. The next prime is 131123121132253. The reversal of 131123121132101 is 101231121321131.

It is not a de Polignac number, because 131123121132101 - 26 = 131123121132037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131123121132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44661161 + ... + 47506478.

It is an arithmetic number, because the mean of its divisors is an integer number (9596310341520).

Almost surely, 2131123121132101 is an apocalyptic number.

It is an amenable number.

131123121132101 is a deficient number, since it is larger than the sum of its proper divisors (22417844332219).

131123121132101 is an equidigital number, since it uses as much as digits as its factorization.

131123121132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92172644.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 131123121132101 its reverse (101231121321131), we get a palindrome (232354242453232).

The spelling of 131123121132101 in words is "one hundred thirty-one trillion, one hundred twenty-three billion, one hundred twenty-one million, one hundred thirty-two thousand, one hundred one".

Divisors: 1 7 41 287 4957 34699 203237 1422659 92167639 645173473 3778873199 26452112393 456874986523 3198124905661 18731874447443 131123121132101