Search a number
-
+
131403312034340 = 22537409175630613
BaseRepresentation
bin11101111000001010110111…
…101111000111001000100100
3122020021000220202011212020012
4131320022313233013020210
5114210402440340044330
61143245503113025352
736451401366165353
oct3570126757071044
9566230822155205
10131403312034340
1138961916a69985
12128a2a133b5258
1358423823c5b98
142463d505d799a
15102d17d386c95
hex7782b7bc7224

131403312034340 has 24 divisors (see below), whose sum is σ = 275954333329080. Its totient is φ = 52559919469568.

The previous prime is 131403312034297. The next prime is 131403312034343. The reversal of 131403312034340 is 43430213304131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 80742359104 + 131322569675236 = 284152^2 + 11459606^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131403312034297 and 131403312034306.

It is not an unprimeable number, because it can be changed into a prime (131403312034343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87067127 + ... + 88563486.

It is an arithmetic number, because the mean of its divisors is an integer number (11498097222045).

Almost surely, 2131403312034340 is an apocalyptic number.

131403312034340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131403312034340 is an abundant number, since it is smaller than the sum of its proper divisors (144551021294740).

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

131403312034340 is a wasteful number, since it uses less digits than its factorization.

131403312034340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175668031 (or 175668029 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 131403312034340 its reverse (43430213304131), we get a palindrome (174833525338471).

The spelling of 131403312034340 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred twelve million, thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37409 74818 149636 187045 374090 748180 175630613 351261226 702522452 878153065 1756306130 3512612260 6570165601717 13140331203434 26280662406868 32850828008585 65701656017170 131403312034340