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102313113221 = 11237910150683
BaseRepresentation
bin101111101001001010…
…1100011011010000101
3100210002101011200001202
41133102111203122011
53134014124110341
6115000233032245
710251262053554
oct1372225433205
9323071150052
10102313113221
113a4330a3320
12179b4555685
139856ac64a7
144d48343d9b
1529dc34b79b
hex17d2563685

102313113221 has 32 divisors (see below), whose sum is σ = 119111454720. Its totient is φ = 86970312000.

The previous prime is 102313113209. The next prime is 102313113251. The reversal of 102313113221 is 122311313201.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-102313113221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102313113193 and 102313113202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102313113251) 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, 1993346 + ... + 2044028.

It is an arithmetic number, because the mean of its divisors is an integer number (3722232960).

Almost surely, 2102313113221 is an apocalyptic number.

102313113221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102313113221 is a deficient number, since it is larger than the sum of its proper divisors (16798341499).

102313113221 is a wasteful number, since it uses less digits than its factorization.

102313113221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50897.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102313113221 its reverse (122311313201), we get a palindrome (224624426422).

The spelling of 102313113221 in words is "one hundred two billion, three hundred thirteen million, one hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 11 23 79 101 253 869 1111 1817 2323 7979 19987 25553 50683 87769 183517 557513 1165709 2018687 4003957 5118983 12822799 44043527 56308813 92091011 117736609 404399657 1013001121 1295102699 4448396227 9301192111 102313113221