Search a number
-
+
106715120681 = 1319597322797
BaseRepresentation
bin110001101100010110…
…1111000010000101001
3101012110011022211002002
41203120231320100221
53222023032330211
6121005123220345
710465333362551
oct1433055702051
9335404284062
10106715120681
11412919a3714
12188228176b5
13a0a8ab0130
145244c22161
152b98a3003b
hex18d8b78429

106715120681 has 16 divisors (see below), whose sum is σ = 123023006400. Its totient is φ = 91739988288.

The previous prime is 106715120671. The next prime is 106715120683. The reversal of 106715120681 is 186021517601.

It is a de Polignac number, because none of the positive numbers 2k-106715120681 is a prime.

It is a super-2 number, since 2×1067151206812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106715120683) 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, 3646826 + ... + 3675971.

It is an arithmetic number, because the mean of its divisors is an integer number (7688937900).

Almost surely, 2106715120681 is an apocalyptic number.

It is an amenable number.

106715120681 is a deficient number, since it is larger than the sum of its proper divisors (16307885719).

106715120681 is a wasteful number, since it uses less digits than its factorization.

106715120681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7322888.

The product of its (nonzero) digits is 20160, while the sum is 38.

The spelling of 106715120681 in words is "one hundred six billion, seven hundred fifteen million, one hundred twenty thousand, six hundred eighty-one".

Divisors: 1 13 19 59 247 767 1121 14573 7322797 95196361 139133143 432045023 1808730859 5616585299 8208855437 106715120681