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100014033006 = 232191372134589
BaseRepresentation
bin101110100100101001…
…1010000100001101110
3100120011011001021220200
41131021103100201232
53114312043024011
6113540143454330
710140304153026
oct1351123204156
9316134037820
10100014033006
1139463350328
12174725b73a6
13957b6b3bb4
144baac74a86
1529055ac856
hex17494d086e

100014033006 has 48 divisors (see below), whose sum is σ = 229767267600. Its totient is φ = 31352828544.

The previous prime is 100014032981. The next prime is 100014033043. The reversal of 100014033006 is 600330410001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 100014033006.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1020441 + ... + 1114148.

It is an arithmetic number, because the mean of its divisors is an integer number (4786818075).

Almost surely, 2100014033006 is an apocalyptic number.

100014033006 is an abundant number, since it is smaller than the sum of its proper divisors (129753234594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100014033006 is a wasteful number, since it uses less digits than its factorization.

100014033006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134753 (or 2134750 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100014033006 its reverse (600330410001), we get a palindrome (700344443007).

The spelling of 100014033006 in words is "one hundred billion, fourteen million, thirty-three thousand, six".

Divisors: 1 2 3 6 9 18 19 38 57 114 137 171 274 342 411 822 1233 2466 2603 5206 7809 15618 23427 46854 2134589 4269178 6403767 12807534 19211301 38422602 40557191 81114382 121671573 243343146 292438693 365014719 584877386 730029438 877316079 1754632158 2631948237 5263896474 5556335167 11112670334 16669005501 33338011002 50007016503 100014033006