Search a number
-
+
107027134929 = 321113563147709
BaseRepresentation
bin110001110101101010…
…0000111100111010001
3101020020220102210011100
41203223110013213101
53223142421304204
6121100110535013
710506142431231
oct1435324074721
9336226383140
10107027134929
1141432033630
12188ab207469
13a128626550
145274441cc1
152bb6113a39
hex18eb5079d1

107027134929 has 48 divisors (see below), whose sum is σ = 181945632960. Its totient is φ = 59768565120.

The previous prime is 107027134927. The next prime is 107027134933. The reversal of 107027134929 is 929431720701.

107027134929 is a `hidden beast` number, since 10 + 7 + 0 + 271 + 349 + 29 = 666.

It is not a de Polignac number, because 107027134929 - 21 = 107027134927 is a prime.

It is a super-2 number, since 2×1070271349292 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107027134927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 650727 + ... + 798435.

It is an arithmetic number, because the mean of its divisors is an integer number (3790534020).

Almost surely, 2107027134929 is an apocalyptic number.

It is an amenable number.

107027134929 is a deficient number, since it is larger than the sum of its proper divisors (74918498031).

107027134929 is a wasteful number, since it uses less digits than its factorization.

107027134929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148302 (or 148299 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 107027134929 in words is "one hundred seven billion, twenty-seven million, one hundred thirty-four thousand, nine hundred twenty-nine".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 563 1287 1689 5067 6193 7319 18579 21957 55737 65871 80509 147709 241527 443127 724581 1329381 1624799 1920217 4874397 5760651 14623191 17281953 21122387 63367161 83160167 190101483 249480501 748441503 914761837 1081082171 2744285511 3243246513 8232856533 9729739539 11891903881 35675711643 107027134929