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102357124717 = 418928050733
BaseRepresentation
bin101111101010011110…
…1011100011001101101
3100210012102222200111011
41133110331130121231
53134111410442332
6115004444225221
710252335130141
oct1372475343155
9323172880434
10102357124717
113a455a23861
1217a0723b211
139862c65bb3
144d5011d221
1529e1141e47
hex17d4f5c66d

102357124717 has 8 divisors (see below), whose sum is σ = 106031774520. Its totient is φ = 98738576640.

The previous prime is 102357124697. The next prime is 102357124721. The reversal of 102357124717 is 717421753201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9645400521 + 92711724196 = 98211^2 + 304486^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 102357124717 - 231 = 100209641069 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102357124717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102357124757) 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 7 ways as a sum of consecutive naturals, for example, 14021718 + ... + 14029015.

It is an arithmetic number, because the mean of its divisors is an integer number (13253971815).

Almost surely, 2102357124717 is an apocalyptic number.

It is an amenable number.

102357124717 is a deficient number, since it is larger than the sum of its proper divisors (3674649803).

102357124717 is an equidigital number, since it uses as much as digits as its factorization.

102357124717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28050863.

The product of its (nonzero) digits is 82320, while the sum is 40.

Adding to 102357124717 its reverse (717421753201), we get a palindrome (819778877918).

The spelling of 102357124717 in words is "one hundred two billion, three hundred fifty-seven million, one hundred twenty-four thousand, seven hundred seventeen".

Divisors: 1 41 89 3649 28050733 1150080053 2496515237 102357124717