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7312085131 = 131396016733
BaseRepresentation
bin1101100111101010…
…11001000010001011
3200212120222102002211
412303311121002023
5104433343211011
63205323205551
7346125461311
oct66365310213
920776872084
107312085131
11311253286a
1215009768b7
138c6b756c0
144d51980b1
152cbe13b21
hex1b3d5908b

7312085131 has 16 divisors (see below), whose sum is σ = 7945581280. Its totient is φ = 6688915200.

The previous prime is 7312085117. The next prime is 7312085149. The reversal of 7312085131 is 1315802137.

It is a cyclic number.

It is not a de Polignac number, because 7312085131 - 213 = 7312076939 is a prime.

It is a super-2 number, since 2×73120851312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7312085093 and 7312085102.

It is not an unprimeable number, because it can be changed into a prime (7312085111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1082641 + ... + 1089373.

It is an arithmetic number, because the mean of its divisors is an integer number (496598830).

Almost surely, 27312085131 is an apocalyptic number.

7312085131 is a deficient number, since it is larger than the sum of its proper divisors (633496149).

7312085131 is a wasteful number, since it uses less digits than its factorization.

7312085131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 7312085131 is about 85510.7310868057. The cubic root of 7312085131 is about 1940.9473117303.

Adding to 7312085131 its reverse (1315802137), we get a palindrome (8627887268).

The spelling of 7312085131 in words is "seven billion, three hundred twelve million, eighty-five thousand, one hundred thirty-one".

Divisors: 1 13 139 601 1807 6733 7813 83539 87529 935887 1086007 4046533 12166531 52604929 562468087 7312085131