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99909900990999 = 32114127190828091
BaseRepresentation
bin10110101101111000010110…
…001010000111101000010111
3111002202021220210010122100100
4112231320112022013220113
5101043410434123202444
6552253550324145143
730021152325201561
oct2655702612075027
9432667823118310
1099909900990999
112991a607511170
12b25725b8381b3
134399603969278
141a95944b00331
15b83d448d6e69
hex5ade16287a17

99909900990999 has 48 divisors (see below), whose sum is σ = 161868739189248. Its totient is φ = 58856602320000.

The previous prime is 99909900990953. The next prime is 99909900991001.

99909900990999 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 99909900990999 - 213 = 99909900982807 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99909900940999) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44314057 + ... + 46514034.

It is an arithmetic number, because the mean of its divisors is an integer number (3372265399776).

Almost surely, 299909900990999 is an apocalyptic number.

99909900990999 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

99909900990999 is a deficient number, since it is larger than the sum of its proper divisors (61958838198249).

99909900990999 is a wasteful number, since it uses less digits than its factorization.

99909900990999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90828420 (or 90828417 counting only the distinct ones).

The product of its (nonzero) digits is 3486784401, while the sum is 90.

The spelling of 99909900990999 in words is "ninety-nine trillion, nine hundred nine billion, nine hundred million, nine hundred ninety thousand, nine hundred ninety-nine".

Divisors: 1 3 9 11 33 41 99 123 271 369 451 813 1353 2439 2981 4059 8943 11111 26829 33333 99999 122221 366663 1099989 90828091 272484273 817452819 999109001 2997327003 3723951731 8991981009 11171855193 24614412661 33515565579 40963469041 73843237983 122890407123 221529713949 270758539271 368671221369 812275617813 1009190919101 2436826853439 3027572757303 9082718271909 11101100110111 33303300330333 99909900990999