Search a number
-
+
131032323121320 = 233252813074219211
BaseRepresentation
bin11101110010110001010111…
…000100101110000010101000
3122011221120022220002101222100
4131302301113010232002220
5114133313144204340240
61142403230201053400
736412526055360015
oct3562612704560250
9564846286071870
10131032323121320
113882955043a625
1212842b37a87260
1358163ab2c4cca
14244ddd93ba70c
1510236b8875e30
hex772c5712e0a8

131032323121320 has 192 divisors, whose sum is σ = 428762736642240. Its totient is φ = 34704183628800.

The previous prime is 131032323121319. The next prime is 131032323121331. The reversal of 131032323121320 is 23121323230131.

131032323121320 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 2 + 323 + 12 + 1 + 320 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28946515 + ... + 33165725.

It is an arithmetic number, because the mean of its divisors is an integer number (2233139253345).

Almost surely, 2131032323121320 is an apocalyptic number.

131032323121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131032323121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214381368321120).

131032323121320 is an abundant number, since it is smaller than the sum of its proper divisors (297730413520920).

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

131032323121320 is a wasteful number, since it uses less digits than its factorization.

131032323121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219816 (or 4219809 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131032323121320 its reverse (23121323230131), we get a palindrome (154153646351451).

The spelling of 131032323121320 in words is "one hundred thirty-one trillion, thirty-two billion, three hundred twenty-three million, one hundred twenty-one thousand, three hundred twenty".