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100111011009999 = 311291018731026859
BaseRepresentation
bin10110110000110011101001…
…001111111101010111001111
3111010110112000111010010122120
4112300303221033331113033
5101110204322304304444
6552530210305544023
730041532115150563
oct2660635117752717
9433415014103576
10100111011009999
1129997928910040
12b28a227045013
1343b2573c36502
141aa15823ab6a3
15b891b5520b19
hex5b0ce93fd5cf

100111011009999 has 32 divisors (see below), whose sum is σ = 150638883321600. Its totient is φ = 58580523778560.

The previous prime is 100111011009983. The next prime is 100111011010001. The reversal of 100111011009999 is 999900110111001.

It is not a de Polignac number, because 100111011009999 - 24 = 100111011009983 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100111011009999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111011001999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96979032 + ... + 98005890.

It is an arithmetic number, because the mean of its divisors is an integer number (4707465103800).

Almost surely, 2100111011009999 is an apocalyptic number.

100111011009999 is a deficient number, since it is larger than the sum of its proper divisors (50527872311601).

100111011009999 is a wasteful number, since it uses less digits than its factorization.

100111011009999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128775.

The product of its (nonzero) digits is 6561, while the sum is 42.

The spelling of 100111011009999 in words is "one hundred trillion, one hundred eleven billion, eleven million, nine thousand, nine hundred ninety-nine".

Divisors: 1 3 11 29 33 87 319 957 101873 305619 1026859 1120603 2954317 3080577 3361809 8862951 11295449 29778911 32497487 33886347 89336733 97492461 327568021 982704063 104609206907 313827620721 1150701275977 3033667000303 3452103827931 9101001000909 33370337003333 100111011009999