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102202001113 = 598331765837
BaseRepresentation
bin101111100101110110…
…1101100011011011001
3100202210122002120220111
41133023231230123121
53133302203013423
6114541223324321
710245442450552
oct1371355543331
9322718076814
10102202001113
113a386402133
12179832b06a1
139839a91b94
144d3769d329
1529d26ee60d
hex17cbb6c6d9

102202001113 has 16 divisors (see below), whose sum is σ = 105519879360. Its totient is φ = 98944661056.

The previous prime is 102202001081. The next prime is 102202001147. The reversal of 102202001113 is 311100202201.

It is a cyclic number.

It is not a de Polignac number, because 102202001113 - 25 = 102202001081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102202001093 and 102202001102.

It is not an unprimeable number, because it can be changed into a prime (102202001513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1519431 + ... + 1585267.

It is an arithmetic number, because the mean of its divisors is an integer number (6594992460).

Almost surely, 2102202001113 is an apocalyptic number.

It is an amenable number.

102202001113 is a deficient number, since it is larger than the sum of its proper divisors (3317878247).

102202001113 is an equidigital number, since it uses as much as digits as its factorization.

102202001113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66296.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102202001113 its reverse (311100202201), we get a palindrome (413302203314).

The spelling of 102202001113 in words is "one hundred two billion, two hundred two million, one thousand, one hundred thirteen".

Divisors: 1 59 83 317 4897 18703 26311 65837 1552349 3884383 5464471 20870329 322403789 1231349411 1732237307 102202001113