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100111209985 = 51710333733931
BaseRepresentation
bin101110100111100010…
…1111101011000000001
3100120101220220101200001
41131033011331120001
53120011432204420
6113553534400001
710142564146603
oct1351705753001
9316356811601
10100111209985
1139503193886
121749b060001
139595879777
144bb9b2d173
15290dda5b0a
hex174f17d601

100111209985 has 32 divisors (see below), whose sum is σ = 128819987712. Its totient is φ = 74422333440.

The previous prime is 100111209953. The next prime is 100111210009. The reversal of 100111209985 is 589902111001.

It is not a de Polignac number, because 100111209985 - 25 = 100111209953 is a prime.

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, 2933470 + ... + 2967400.

It is an arithmetic number, because the mean of its divisors is an integer number (4025624616).

Almost surely, 2100111209985 is an apocalyptic number.

It is an amenable number.

100111209985 is a deficient number, since it is larger than the sum of its proper divisors (28708777727).

100111209985 is a wasteful number, since it uses less digits than its factorization.

100111209985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34393.

The product of its (nonzero) digits is 6480, while the sum is 37.

The spelling of 100111209985 in words is "one hundred billion, one hundred eleven million, two hundred nine thousand, nine hundred eighty-five".

Divisors: 1 5 17 85 103 337 515 1685 1751 5729 8755 28645 33931 34711 169655 173555 576827 590087 2884135 2950435 3494893 11434747 17474465 57173735 59413181 194390699 297065905 971953495 1177778941 5888894705 20022241997 100111209985