Search a number
-
+
31529730131 is a prime number
BaseRepresentation
bin11101010111010100…
…011000000001010011
310000101100202020121122
4131113110120001103
51004033102331011
622252355312455
72164223166314
oct352724300123
9100340666548
1031529730131
111240a78aa09
12613b2ab72b
132c86296563
14175168a60b
15c480973db
hex757518053

31529730131 has 2 divisors, whose sum is σ = 31529730132. Its totient is φ = 31529730130.

The previous prime is 31529730109. The next prime is 31529730137. The reversal of 31529730131 is 13103792513.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 31529730131 - 210 = 31529729107 is a prime.

It is a super-3 number, since 3×315297301313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 31529730091 and 31529730100.

It is not a weakly prime, because it can be changed into another prime (31529730137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15764865065 + 15764865066.

It is an arithmetic number, because the mean of its divisors is an integer number (15764865066).

Almost surely, 231529730131 is an apocalyptic number.

31529730131 is a deficient number, since it is larger than the sum of its proper divisors (1).

31529730131 is an equidigital number, since it uses as much as digits as its factorization.

31529730131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17010, while the sum is 35.

The spelling of 31529730131 in words is "thirty-one billion, five hundred twenty-nine million, seven hundred thirty thousand, one hundred thirty-one".