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102302312201 = 738571635241
BaseRepresentation
bin101111101000110110…
…0010110011100001001
3100210001121211220211222
41133101230112130021
53134003342442301
6114555205331425
710251101206655
oct1372154263411
9323047756758
10102302312201
113a427a96361
12179b0a06b75
1398547b415b
144d46b31a65
1529db41631b
hex17d1b16709

102302312201 has 8 divisors (see below), whose sum is σ = 103824785064. Its totient is φ = 100783111680.

The previous prime is 102302312179. The next prime is 102302312213. The reversal of 102302312201 is 102213203201.

It can be written as a sum of positive squares in 4 ways, for example, as 49907560000 + 52394752201 = 223400^2 + 228899^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102302312201 - 26 = 102302312137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102302312201.

It is not an unprimeable number, because it can be changed into a prime (102302312251) 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 7 ways as a sum of consecutive naturals, for example, 755060 + ... + 880181.

It is an arithmetic number, because the mean of its divisors is an integer number (12978098133).

Almost surely, 2102302312201 is an apocalyptic number.

It is an amenable number.

102302312201 is a deficient number, since it is larger than the sum of its proper divisors (1522472863).

102302312201 is an equidigital number, since it uses as much as digits as its factorization.

102302312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636171.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102302312201 its reverse (102213203201), we get a palindrome (204515515402).

The spelling of 102302312201 in words is "one hundred two billion, three hundred two million, three hundred twelve thousand, two hundred one".

Divisors: 1 73 857 62561 1635241 119372593 1401401537 102302312201