Search a number
-
+
131507703513 = 32291494397703
BaseRepresentation
bin111101001111001111…
…0000100111011011001
3110120102222221112000200
41322132132010323121
54123311433003023
6140225214252413
712333612015264
oct1723636047331
9416388845020
10131507703513
115085474109a
12215a17b7109
13c52a3632a4
146517815cdb
15364a3d0743
hex1e9e784ed9

131507703513 has 48 divisors (see below), whose sum is σ = 198300960000. Its totient is φ = 83878107264.

The previous prime is 131507703511. The next prime is 131507703517. The reversal of 131507703513 is 315307705131.

131507703513 is a `hidden beast` number, since 1 + 31 + 507 + 70 + 3 + 51 + 3 = 666.

It is not a de Polignac number, because 131507703513 - 21 = 131507703511 is a prime.

It is a super-2 number, since 2×1315077035132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131507703511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17068420 + ... + 17076122.

It is an arithmetic number, because the mean of its divisors is an integer number (4131270000).

Almost surely, 2131507703513 is an apocalyptic number.

It is an amenable number.

131507703513 is a deficient number, since it is larger than the sum of its proper divisors (66793256487).

131507703513 is a wasteful number, since it uses less digits than its factorization.

131507703513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8326 (or 8323 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The spelling of 131507703513 in words is "one hundred thirty-one billion, five hundred seven million, seven hundred three thousand, five hundred thirteen".

Divisors: 1 3 9 29 87 149 261 439 447 1317 1341 3951 4321 7703 12731 12963 23109 38193 38889 65411 69327 114579 196233 223387 588699 670161 1147747 1896919 2010483 3381617 3443241 5690757 10144851 10329723 17072271 30434553 33284663 98066893 99853989 294200679 299561967 503860933 882602037 1511582799 4534748397 14611967057 43835901171 131507703513