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100102011999 = 311171631094693
BaseRepresentation
bin101110100111010001…
…0110111110001011111
3100120101021121002101220
41131032202313301133
53120002103340444
6113553005304423
710142423030403
oct1351642676137
9316337532356
10100102011999
11394a8a81240
1217497b65113
1395939a8c82
144bb8817103
15290d18a619
hex174e8b7c5f

100102011999 has 32 divisors (see below), whose sum is σ = 155113761024. Its totient is φ = 56748833280.

The previous prime is 100102011953. The next prime is 100102012001. The reversal of 100102011999 is 999110201001.

It is not a de Polignac number, because 100102011999 - 215 = 100101979231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102011949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455904 + ... + 638789.

It is an arithmetic number, because the mean of its divisors is an integer number (4847305032).

Almost surely, 2100102011999 is an apocalyptic number.

100102011999 is a deficient number, since it is larger than the sum of its proper divisors (55011749025).

100102011999 is a wasteful number, since it uses less digits than its factorization.

100102011999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094887.

The product of its (nonzero) digits is 1458, while the sum is 33.

The spelling of 100102011999 in words is "one hundred billion, one hundred two million, eleven thousand, nine hundred ninety-nine".

Divisors: 1 3 11 17 33 51 163 187 489 561 1793 2771 5379 8313 30481 91443 1094693 3284079 12041623 18609781 36124869 55829343 178434959 204707591 535304877 614122773 1962784549 3033394303 5888353647 9100182909 33367337333 100102011999