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123200232113101 = 111329153119404493
BaseRepresentation
bin11100000000110011001010…
…000100100100001111001101
3121011012211100000002120012111
4130000303022010210033031
5112122003033410104401
61114005223313304021
734643631413261653
oct3400631204441715
9534184300076174
10123200232113101
1136289a1a2280a0
1211999044565011
135398969397a70
14225ccccbc8dd3
15e39ac28bce51
hex700cca1243cd

123200232113101 has 32 divisors (see below), whose sum is σ = 149827531432320. Its totient is φ = 99754612473600.

The previous prime is 123200232113093. The next prime is 123200232113111. The reversal of 123200232113101 is 101311232002321.

It is a cyclic number.

It is not a de Polignac number, because 123200232113101 - 23 = 123200232113093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123200232113111) by changing a digit.

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, 3353190 + ... + 16051303.

It is an arithmetic number, because the mean of its divisors is an integer number (4682110357260).

Almost surely, 2123200232113101 is an apocalyptic number.

123200232113101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123200232113101 is a deficient number, since it is larger than the sum of its proper divisors (26627299319219).

123200232113101 is a wasteful number, since it uses less digits than its factorization.

123200232113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19406077.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 123200232113101 its reverse (101311232002321), we get a palindrome (224511464115422).

The spelling of 123200232113101 in words is "one hundred twenty-three trillion, two hundred billion, two hundred thirty-two million, one hundred thirteen thousand, one hundred one".

Divisors: 1 11 13 29 143 319 377 1531 4147 16841 19903 44399 218933 488389 577187 6349057 19404493 213449423 252258409 562730297 2774842499 6190033267 7315493861 29708278783 80470432471 326791066613 386207624179 861540084707 4248283865969 9476940931777 11200021101191 123200232113101