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100113330202311 = 32329342121615443
BaseRepresentation
bin10110110000110101110011…
…011110111110011011000111
3111010110202000010002022102010
4112300311303132332123013
5101110224100012433221
6552531232354145303
730041643436025316
oct2660656336763307
9433422003068363
10100113330202311
1129998908a4a5a8
12b28a773882233
1343b285356b25a
141aa17223d427d
15b8929de33c76
hex5b0d737be6c7

100113330202311 has 64 divisors (see below), whose sum is σ = 140186057001984. Its totient is φ = 63430349875200.

The previous prime is 100113330202267. The next prime is 100113330202331. The reversal of 100113330202311 is 113202033311001.

It is a happy number.

It is not a de Polignac number, because 100113330202311 - 211 = 100113330200263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113330202331) 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 63 ways as a sum of consecutive naturals, for example, 18393039756 + ... + 18393045198.

It is an arithmetic number, because the mean of its divisors is an integer number (2190407140656).

Almost surely, 2100113330202311 is an apocalyptic number.

100113330202311 is a deficient number, since it is larger than the sum of its proper divisors (40072726799673).

100113330202311 is a wasteful number, since it uses less digits than its factorization.

100113330202311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8344.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 100113330202311 its reverse (113202033311001), we get a palindrome (213315363513312).

The spelling of 100113330202311 in words is "one hundred trillion, one hundred thirteen billion, three hundred thirty million, two hundred two thousand, three hundred eleven".

Divisors: 1 3 23 69 293 421 879 1263 2161 5443 6483 6739 9683 16329 20217 29049 49703 123353 125189 149109 370059 375567 633173 909781 1594799 1899519 2291503 2729343 2837119 4784397 6874509 8511357 11762323 14562979 20924963 35286969 36680377 43688937 52704569 62774889 110041131 158113707 266565833 270533429 671410379 799697499 811600287 2014231137 3446360639 4951937983 6131014159 10339081917 14855813949 15442438717 18393042477 46327316151 79266294697 113894573609 237798884091 341683720827 1450917829019 4352753487057 33371110067437 100113330202311