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100051051005 = 3255693907481
BaseRepresentation
bin101110100101110000…
…0011110000111111101
3100120020201201000001200
41131023200132013331
53114401032113010
6113543545130113
710141233621153
oct1351340360775
9316221630050
10100051051005
1139482234514
1217482a89939
139586275339
144bb1b4d3d3
152908970cc0
hex174b81e1fd

100051051005 has 24 divisors (see below), whose sum is σ = 173726649720. Its totient is φ = 53266767360.

The previous prime is 100051050937. The next prime is 100051051013. The reversal of 100051051005 is 500150150001.

100051051005 is a `hidden beast` number, since 100 + 0 + 51 + 0 + 510 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3860509689 + 96190541316 = 62133^2 + 310146^2 .

It is not a de Polignac number, because 100051051005 - 29 = 100051050493 is a prime.

It is a super-2 number, since 2×1000510510052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1928136 + ... + 1979345.

It is an arithmetic number, because the mean of its divisors is an integer number (7238610405).

Almost surely, 2100051051005 is an apocalyptic number.

100051051005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100051051005 is a deficient number, since it is larger than the sum of its proper divisors (73675598715).

100051051005 is a wasteful number, since it uses less digits than its factorization.

100051051005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908061 (or 3908058 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 100051051005 in words is "one hundred billion, fifty-one million, fifty-one thousand, five".

Divisors: 1 3 5 9 15 45 569 1707 2845 5121 8535 25605 3907481 11722443 19537405 35167329 58612215 175836645 2223356689 6670070067 11116783445 20010210201 33350350335 100051051005