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131040103005 = 32575954113033
BaseRepresentation
bin111101000001010011…
…0010100101001011101
3110112020102001221201100
41322002212110221131
54121332231244010
6140110552103313
712316203332430
oct1720246245135
9415212057640
10131040103005
11506347a3999
1221491094b39
13c4845133b6
1464b1695817
15361e3172c0
hex1e82994a5d

131040103005 has 96 divisors (see below), whose sum is σ = 264492184320. Its totient is φ = 58775362560.

The previous prime is 131040103003. The next prime is 131040103021. The reversal of 131040103005 is 500301040131.

131040103005 is a `hidden beast` number, since 1 + 310 + 40 + 10 + 300 + 5 = 666.

It is not a de Polignac number, because 131040103005 - 21 = 131040103003 is a prime.

It is a super-2 number, since 2×1310401030052 (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 (131040103003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10047969 + ... + 10061001.

It is an arithmetic number, because the mean of its divisors is an integer number (2755126920).

Almost surely, 2131040103005 is an apocalyptic number.

131040103005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131040103005 is an abundant number, since it is smaller than the sum of its proper divisors (133452081315).

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

131040103005 is a wasteful number, since it uses less digits than its factorization.

131040103005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13651 (or 13648 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 131040103005 its reverse (500301040131), we get a palindrome (631341143136).

The spelling of 131040103005 in words is "one hundred thirty-one billion, forty million, one hundred three thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 59 63 105 177 295 315 413 531 541 885 1239 1623 2065 2655 2705 3717 3787 4869 6195 8115 11361 13033 18585 18935 24345 31919 34083 39099 56805 65165 91231 95757 117297 159595 170415 195495 223433 273693 287271 456155 478785 586485 670299 768947 821079 1117165 1368465 1436355 2010897 2306841 3351495 3844735 4105395 5382629 6920523 7050853 10054485 11534205 16147887 21152559 26913145 34602615 35254265 48443661 49355971 63457677 80739435 105762795 148067913 242218305 246779855 317288385 416000327 444203739 740339565 1248000981 2080001635 2221018695 2912002289 3744002943 6240004905 8736006867 14560011445 18720014715 26208020601 43680034335 131040103005