Search a number
-
+
106712846931 = 3233149889129
BaseRepresentation
bin110001101100010010…
…1001101001001010011
3101012110000001022002010
41203120211031021103
53222021442100211
6121005002354003
710465305142545
oct1433045151123
9335400038063
10106712846931
1141290690389
1218821abb903
13a0a8495212
1452447cd695
152b987314a6
hex18d894d253

106712846931 has 16 divisors (see below), whose sum is σ = 153259407360. Its totient is φ = 65853648960.

The previous prime is 106712846921. The next prime is 106712846959. The reversal of 106712846931 is 139648217601.

It is not a de Polignac number, because 106712846931 - 27 = 106712846803 is a prime.

It is a super-2 number, since 2×1067128469312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106712846921) 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, 24942426 + ... + 24946703.

It is an arithmetic number, because the mean of its divisors is an integer number (9578712960).

Almost surely, 2106712846931 is an apocalyptic number.

106712846931 is a deficient number, since it is larger than the sum of its proper divisors (46546560429).

106712846931 is a wasteful number, since it uses less digits than its factorization.

106712846931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49889186.

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 106712846931 in words is "one hundred six billion, seven hundred twelve million, eight hundred forty-six thousand, nine hundred thirty-one".

Divisors: 1 3 23 31 69 93 713 2139 49889129 149667387 1147449967 1546562999 3442349901 4639688997 35570948977 106712846931