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101413660304 = 241134762099
BaseRepresentation
bin101111001110010111…
…0011010011010010000
3100200202200200201121202
41132130232122122100
53130143344112204
6114331102410332
710220060614055
oct1363456323220
9320680621552
10101413660304
113a011405000
12177a32909a8
139742661b28
144ca0acb02c
1529883cbe1e
hex179cb9a690

101413660304 has 40 divisors (see below), whose sum is σ = 216123146400. Its totient is φ = 46097108640.

The previous prime is 101413660297. The next prime is 101413660319. The reversal of 101413660304 is 403066314101.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2359754 + ... + 2402345.

It is an arithmetic number, because the mean of its divisors is an integer number (5403078660).

Almost surely, 2101413660304 is an apocalyptic number.

It is an amenable number.

101413660304 is an abundant number, since it is smaller than the sum of its proper divisors (114709486096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101413660304 is an equidigital number, since it uses as much as digits as its factorization.

101413660304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762140 (or 4762112 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 101413660304 its reverse (403066314101), we get a palindrome (504479974405).

The spelling of 101413660304 in words is "one hundred one billion, four hundred thirteen million, six hundred sixty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1331 1936 2662 5324 10648 21296 4762099 9524198 19048396 38096792 52383089 76193584 104766178 209532356 419064712 576213979 838129424 1152427958 2304855916 4609711832 6338353769 9219423664 12676707538 25353415076 50706830152 101413660304