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106700120007 = 31329116381119
BaseRepresentation
bin110001101011111010…
…0101001111111000111
3101012102010002201000120
41203113310221333013
53222010212320012
6121003425513023
710465062025035
oct1432764517707
9335363081016
10106700120007
1141284488468
12188197a2773
13a0a595a3b0
145242c39555
152b9756a58c
hex18d7d29fc7

106700120007 has 32 divisors (see below), whose sum is σ = 158631782400. Its totient is φ = 63342125952.

The previous prime is 106700119987. The next prime is 106700120039. The reversal of 106700120007 is 700021007601.

It is not a de Polignac number, because 106700120007 - 210 = 106700118983 is a prime.

It is a super-2 number, since 2×1067001200072 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106700120077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1274794 + ... + 1355912.

It is an arithmetic number, because the mean of its divisors is an integer number (4957243200).

Almost surely, 2106700120007 is an apocalyptic number.

106700120007 is a deficient number, since it is larger than the sum of its proper divisors (51931662393).

106700120007 is a wasteful number, since it uses less digits than its factorization.

106700120007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82327.

The product of its (nonzero) digits is 588, while the sum is 24.

Adding to 106700120007 its reverse (700021007601), we get a palindrome (806721127608).

The spelling of 106700120007 in words is "one hundred six billion, seven hundred million, one hundred twenty thousand, seven".

Divisors: 1 3 13 29 39 87 377 1131 1163 3489 15119 33727 45357 81119 101181 243357 438451 1054547 1315353 2352451 3163641 7057353 30581863 91745589 94341397 283024191 1226438161 2735900513 3679314483 8207701539 35566706669 106700120007