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102392217104 = 249473675553
BaseRepresentation
bin101111101011100001…
…1010011111000010000
3100210021220000120012012
41133113003103320100
53134144401421404
6115012140322052
710253242325252
oct1372703237020
9323256016165
10102392217104
113a473812231
1217a16b43328
13986a301a18
144d54a55cd2
1529e4274a6e
hex17d70d3e10

102392217104 has 20 divisors (see below), whose sum is σ = 198406156476. Its totient is φ = 51190628352.

The previous prime is 102392217097. The next prime is 102392217107. The reversal of 102392217104 is 401712293201.

It can be written as a sum of positive squares in 2 ways, for example, as 85790410000 + 16601807104 = 292900^2 + 128848^2 .

It is a super-2 number, since 2×1023922171042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102392217107) 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 in 3 ways as a sum of consecutive naturals, for example, 186209 + ... + 489344.

Almost surely, 2102392217104 is an apocalyptic number.

It is an amenable number.

102392217104 is a deficient number, since it is larger than the sum of its proper divisors (96013939372).

102392217104 is an equidigital number, since it uses as much as digits as its factorization.

102392217104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685034 (or 685028 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 102392217104 in words is "one hundred two billion, three hundred ninety-two million, two hundred seventeen thousand, one hundred four".

Divisors: 1 2 4 8 16 9473 18946 37892 75784 151568 675553 1351106 2702212 5404424 10808848 6399513569 12799027138 25598054276 51196108552 102392217104