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131434122460 = 22537479370801
BaseRepresentation
bin111101001101000010…
…1011000110011011100
3110120020212111012210111
41322122011120303130
54123134113404320
6140214025215404
712332026415254
oct1723205306334
9416225435714
10131434122460
1150817154603
1221581031564
13c51803c7c4
14650bb40964
153643be8a5a
hex1e9a158cdc

131434122460 has 48 divisors (see below), whose sum is σ = 284063996160. Its totient is φ = 51045811200.

The previous prime is 131434122419. The next prime is 131434122461. The reversal of 131434122460 is 64221434131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131434122461) 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, 169060 + ... + 539860.

It is an arithmetic number, because the mean of its divisors is an integer number (5917999920).

Almost surely, 2131434122460 is an apocalyptic number.

131434122460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131434122460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142031998080).

131434122460 is an abundant number, since it is smaller than the sum of its proper divisors (152629873700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131434122460 is a wasteful number, since it uses less digits than its factorization.

131434122460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371326 (or 371324 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 131434122460 its reverse (64221434131), we get a palindrome (195655556591).

The spelling of 131434122460 in words is "one hundred thirty-one billion, four hundred thirty-four million, one hundred twenty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 479 740 958 1916 2395 4790 9580 17723 35446 70892 88615 177230 354460 370801 741602 1483204 1854005 3708010 7416020 13719637 27439274 54878548 68598185 137196370 177613679 274392740 355227358 710454716 888068395 1776136790 3552273580 6571706123 13143412246 26286824492 32858530615 65717061230 131434122460