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102284722239 = 37217311320331
BaseRepresentation
bin101111101000010100…
…1010000000000111111
3100210000101202020221220
41133100221100000333
53133434342102424
6114553340324423
710250465536200
oct1372051200077
9323011666856
10102284722239
113a4190717a7
12179a6b43713
139850c659ab
144d446735a7
1529d9ade579
hex17d0a5003f

102284722239 has 48 divisors (see below), whose sum is σ = 173396560896. Its totient is φ = 53235705600.

The previous prime is 102284722217. The next prime is 102284722249. The reversal of 102284722239 is 932227482201.

It is not a de Polignac number, because 102284722239 - 28 = 102284721983 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 102284722239.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102284722249) 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 in 47 ways as a sum of consecutive naturals, for example, 582697 + ... + 737634.

It is an arithmetic number, because the mean of its divisors is an integer number (3612428352).

Almost surely, 2102284722239 is an apocalyptic number.

102284722239 is a deficient number, since it is larger than the sum of its proper divisors (71111838657).

102284722239 is a wasteful number, since it uses less digits than its factorization.

102284722239 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320396 (or 1320389 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 102284722239 in words is "one hundred two billion, two hundred eighty-four million, seven hundred twenty-two thousand, two hundred thirty-nine".

Divisors: 1 3 7 17 21 31 49 51 93 119 147 217 357 527 651 833 1519 1581 2499 3689 4557 11067 25823 77469 1320331 3960993 9242317 22445627 27726951 40930261 64696219 67336881 122790783 157119389 194088657 286511827 471358167 695814437 859535481 1099835723 2005582789 2087443311 3299507169 4870701059 6016748367 14612103177 34094907413 102284722239