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102201413009 is a prime number
BaseRepresentation
bin101111100101110101…
…1011100110110010001
3100202210120222201011212
41133023223130312101
53133302030204014
6114541202545505
710245434451143
oct1371353346621
9322716881155
10102201413009
113a3860402a3
1217983068295
1398399172a7
144d37588c93
1529d263523e
hex17cbadcd91

102201413009 has 2 divisors, whose sum is σ = 102201413010. Its totient is φ = 102201413008.

The previous prime is 102201412997. The next prime is 102201413011. The reversal of 102201413009 is 900314102201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97809435025 + 4391977984 = 312745^2 + 66272^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102201413009 is a prime.

Together with 102201413011, 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 (102201313009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100706504 + 51100706505.

It is an arithmetic number, because the mean of its divisors is an integer number (51100706505).

Almost surely, 2102201413009 is an apocalyptic number.

It is an amenable number.

102201413009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201413009 is an equidigital number, since it uses as much as digits as its factorization.

102201413009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 102201413009 in words is "one hundred two billion, two hundred one million, four hundred thirteen thousand, nine".