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131430513114 = 23383269310889
BaseRepresentation
bin111101001100111011…
…1100111100111011010
3110120020121200211201000
41322121313213213122
54123132202404424
6140213420005430
712331653633345
oct1723167474732
9416217624630
10131430513114
115081510987a
122157b990876
13c5173779b4
14650b48145c
1536437343c9
hex1e99de79da

131430513114 has 64 divisors (see below), whose sum is σ = 295723612800. Its totient is φ = 43262292096.

The previous prime is 131430513079. The next prime is 131430513157. The reversal of 131430513114 is 411315034131.

131430513114 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 30 + 513 + 114 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12064582 + ... + 12075470.

It is an arithmetic number, because the mean of its divisors is an integer number (4620681450).

Almost surely, 2131430513114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131430513114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147861806400).

131430513114 is an abundant number, since it is smaller than the sum of its proper divisors (164293099686).

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

131430513114 is a wasteful number, since it uses less digits than its factorization.

131430513114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13676 (or 13670 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 131430513114 its reverse (411315034131), we get a palindrome (542745547245).

The spelling of 131430513114 in words is "one hundred thirty-one billion, four hundred thirty million, five hundred thirteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1494 2241 2693 4482 5386 8079 10889 16158 21778 24237 32667 48474 65334 72711 98001 145422 196002 223519 294003 447038 588006 670557 903787 1341114 1807574 2011671 2711361 4023342 5422722 6035013 8134083 12070026 16268166 24402249 29324077 48804498 58648154 87972231 175944462 263916693 527833386 791750079 1583500158 2433898391 4867796782 7301695173 14603390346 21905085519 43810171038 65715256557 131430513114