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102972294329 is a prime number
BaseRepresentation
bin101111111100110100…
…0001000010010111001
3100211210022112112112212
41133321220020102321
53141341401404304
6115145501344505
710303515026432
oct1377150102271
9324708475485
10102972294329
113a7411a28a3
1217b59268135
139930543398
144dabad4489
152a2a15966e
hex17f9a084b9

102972294329 has 2 divisors, whose sum is σ = 102972294330. Its totient is φ = 102972294328.

The previous prime is 102972294307. The next prime is 102972294389. The reversal of 102972294329 is 923492279201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102941514025 + 30780304 = 320845^2 + 5548^2 .

It is a cyclic number.

It is not a de Polignac number, because 102972294329 - 212 = 102972290233 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (102972294389) 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 as a sum of consecutive naturals, namely, 51486147164 + 51486147165.

It is an arithmetic number, because the mean of its divisors is an integer number (51486147165).

Almost surely, 2102972294329 is an apocalyptic number.

It is an amenable number.

102972294329 is a deficient number, since it is larger than the sum of its proper divisors (1).

102972294329 is an equidigital number, since it uses as much as digits as its factorization.

102972294329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 979776, while the sum is 50.

The spelling of 102972294329 in words is "one hundred two billion, nine hundred seventy-two million, two hundred ninety-four thousand, three hundred twenty-nine".