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102681416287 = 177687785753
BaseRepresentation
bin101111110100001001…
…0100001001001011111
3100211001001012101220001
41133220102201021133
53140242420310122
6115100551035131
710263353431462
oct1375022411137
9324031171801
10102681416287
113a601a8991a
1217a9796baa7
1398b51ba5b8
144d812172d9
152a0e84d527
hex17e84a125f

102681416287 has 8 divisors (see below), whose sum is σ = 108735781536. Its totient is φ = 96628637952.

The previous prime is 102681416237. The next prime is 102681416291. The reversal of 102681416287 is 782614186201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102681416287 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102681416237) 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 7 ways as a sum of consecutive naturals, for example, 262198 + ... + 523555.

It is an arithmetic number, because the mean of its divisors is an integer number (13591972692).

Almost surely, 2102681416287 is an apocalyptic number.

102681416287 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

102681416287 is a deficient number, since it is larger than the sum of its proper divisors (6054365249).

102681416287 is an equidigital number, since it uses as much as digits as its factorization.

102681416287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793457.

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 102681416287 in words is "one hundred two billion, six hundred eighty-one million, four hundred sixteen thousand, two hundred eighty-seven".

Divisors: 1 17 7687 130679 785753 13357801 6040083311 102681416287