Search a number
-
+
131403315120255 = 3252920073669339
BaseRepresentation
bin11101111000001010110111…
…111010111000100001111111
3122020021000220221222122022100
4131320022313322320201333
5114210402442132322010
61143245503303120143
736451401434340243
oct3570126772704177
9566230827878270
10131403315120255
1138961918787422
12128a2a14443053
135842382c36679
142463d50b9c423
15102d17d7962c0
hex7782b7eb887f

131403315120255 has 12 divisors (see below), whose sum is σ = 227765746208520. Its totient is φ = 70081768064112.

The previous prime is 131403315120251. The next prime is 131403315120271. The reversal of 131403315120255 is 552021513304131.

It is a happy number.

131403315120255 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 331 + 51 + 20 + 255 = 666.

It is not a de Polignac number, because 131403315120255 - 22 = 131403315120251 is a prime.

It is a super-2 number, since 2×1314033151202552 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131403315120251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1460036834625 + ... + 1460036834714.

It is an arithmetic number, because the mean of its divisors is an integer number (18980478850710).

Almost surely, 2131403315120255 is an apocalyptic number.

131403315120255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131403315120255 is a deficient number, since it is larger than the sum of its proper divisors (96362431088265).

131403315120255 is a wasteful number, since it uses less digits than its factorization.

131403315120255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920073669350 (or 2920073669347 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 131403315120255 its reverse (552021513304131), we get a palindrome (683424828424386).

The spelling of 131403315120255 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred fifteen million, one hundred twenty thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 45 2920073669339 8760221008017 14600368346695 26280663024051 43801105040085 131403315120255