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102321120017 is a prime number
BaseRepresentation
bin101111101001011010…
…0000110001100010001
3100210002221020110022202
41133102310012030101
53134023201320032
6115001120412545
710251420112154
oct1372264061421
9323087213282
10102321120017
113a437671a06
12179b7177155
13985866aa3c
144d49429c9b
1529dcdcdd62
hex17d2d06311

102321120017 has 2 divisors, whose sum is σ = 102321120018. Its totient is φ = 102321120016.

The previous prime is 102321120001. The next prime is 102321120019. The reversal of 102321120017 is 710021123201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68656576576 + 33664543441 = 262024^2 + 183479^2 .

It is a cyclic number.

It is not a de Polignac number, because 102321120017 - 24 = 102321120001 is a prime.

It is a super-2 number, since 2×1023211200172 (a number of 23 digits) contains 22 as substring.

Together with 102321120019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102321120019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51160560008 + 51160560009.

It is an arithmetic number, because the mean of its divisors is an integer number (51160560009).

Almost surely, 2102321120017 is an apocalyptic number.

It is an amenable number.

102321120017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102321120017 is an equidigital number, since it uses as much as digits as its factorization.

102321120017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 102321120017 its reverse (710021123201), we get a palindrome (812342243218).

The spelling of 102321120017 in words is "one hundred two billion, three hundred twenty-one million, one hundred twenty thousand, seventeen".