Search a number
-
+
31146007737 = 3133125761793
BaseRepresentation
bin11101000000011100…
…100101110010111001
32222101121201010110010
4131000130211302321
51002241334221422
622150331012133
72151553461165
oct350034456271
988347633403
1031146007737
1112233122669
12605289a049
132c24933ca0
141716721ca5
15c2454bb0c
hex740725cb9

31146007737 has 16 divisors (see below), whose sum is σ = 46165134848. Its totient is φ = 18548490240.

The previous prime is 31146007709. The next prime is 31146007759. The reversal of 31146007737 is 73770064113.

It is a happy number.

It is not a de Polignac number, because 31146007737 - 28 = 31146007481 is a prime.

It is a super-2 number, since 2×311460077372 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31146007695 and 31146007704.

It is not an unprimeable number, because it can be changed into a prime (31146007787) 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, 12879688 + ... + 12882105.

It is an arithmetic number, because the mean of its divisors is an integer number (2885320928).

Almost surely, 231146007737 is an apocalyptic number.

It is an amenable number.

31146007737 is a deficient number, since it is larger than the sum of its proper divisors (15019127111).

31146007737 is a wasteful number, since it uses less digits than its factorization.

31146007737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25761840.

The product of its (nonzero) digits is 74088, while the sum is 39.

The spelling of 31146007737 in words is "thirty-one billion, one hundred forty-six million, seven thousand, seven hundred thirty-seven".

Divisors: 1 3 13 31 39 93 403 1209 25761793 77285379 334903309 798615583 1004709927 2395846749 10382002579 31146007737