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100110639406 = 22973831132521
BaseRepresentation
bin101110100111100001…
…1110010000100101110
3100120101212211101222111
41131033003302010232
53120011310430111
6113553514234234
710142556252241
oct1351703620456
9316355741874
10100110639406
1139502934128
121749aa2597a
139595709b4b
144bb9a21258
15290dce1a21
hex174f0f212e

100110639406 has 64 divisors (see below), whose sum is σ = 160843475520. Its totient is φ = 46657658880.

The previous prime is 100110639389. The next prime is 100110639413. The reversal of 100110639406 is 604936011001.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 39709426 + ... + 39711946.

It is an arithmetic number, because the mean of its divisors is an integer number (2513179305).

Almost surely, 2100110639406 is an apocalyptic number.

100110639406 is a deficient number, since it is larger than the sum of its proper divisors (60732836114).

100110639406 is a wasteful number, since it uses less digits than its factorization.

100110639406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 100110639406 in words is "one hundred billion, one hundred ten million, six hundred thirty-nine thousand, four hundred six".

Divisors: 1 2 29 58 73 83 113 146 166 226 2117 2407 2521 3277 4234 4814 5042 6059 6554 8249 9379 12118 16498 18758 73109 146218 175711 184033 209243 239221 271991 284873 351422 368066 418486 478442 543982 569746 684667 1369334 5336957 6068047 8261317 10673914 12136094 15274739 16522634 19855343 20795729 23644459 30549478 39710686 41591458 47288918 442967431 603076141 685689311 885934862 1206152282 1371378622 1726045507 3452091014 50055319703 100110639406