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102122663349 = 3722377328211
BaseRepresentation
bin101111100011011111…
…1000010110110110101
3100202121002210210221210
41133012333002312311
53133121400211344
6114525311032033
710243460213250
oct1370677026665
9322532723853
10102122663349
113a345643533
121796080b619
139826504065
144d2ad2a097
1529ca77bdb9
hex17c6fc2db5

102122663349 has 32 divisors (see below), whose sum is σ = 156521078784. Its totient is φ = 58016911680.

The previous prime is 102122663327. The next prime is 102122663359. The reversal of 102122663349 is 943366221201.

It is not a de Polignac number, because 102122663349 - 211 = 102122661301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122663359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3605854 + ... + 3634064.

It is an arithmetic number, because the mean of its divisors is an integer number (4891283712).

Almost surely, 2102122663349 is an apocalyptic number.

It is an amenable number.

102122663349 is a deficient number, since it is larger than the sum of its proper divisors (54398415435).

102122663349 is a wasteful number, since it uses less digits than its factorization.

102122663349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29217.

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 102122663349 in words is "one hundred two billion, one hundred twenty-two million, six hundred sixty-three thousand, three hundred forty-nine".

Divisors: 1 3 7 21 223 669 773 1561 2319 4683 5411 16233 28211 84633 172379 197477 517137 592431 1206653 3619959 6291053 18873159 21807103 44037371 65421309 132112113 152649721 457949163 4862983969 14588951907 34040887783 102122663349