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102823368817 = 13592611932
BaseRepresentation
bin101111111000011000…
…0000001100001110001
3100211101221022100011011
41133300300001201301
53141040240300232
6115123021350521
710300026133321
oct1376060014161
9324357270134
10102823368817
113a675124964
1217b17408441
13990872c590
144d96009281
152a1c03d547
hex17f0c01871

102823368817 has 36 divisors (see below), whose sum is σ = 115084355484. Its totient is φ = 91300055040.

The previous prime is 102823368761. The next prime is 102823368863. The reversal of 102823368817 is 718863328201.

It can be written as a sum of positive squares in 6 ways, for example, as 49632710656 + 53190658161 = 222784^2 + 230631^2 .

It is not a de Polignac number, because 102823368817 - 27 = 102823368689 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 (102823368887) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532763473 + ... + 532763665.

Almost surely, 2102823368817 is an apocalyptic number.

It is an amenable number.

102823368817 is a deficient number, since it is larger than the sum of its proper divisors (12260986667).

102823368817 is an frugal number, since it uses more digits than its factorization.

102823368817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 102823368817 in words is "one hundred two billion, eight hundred twenty-three million, three hundred sixty-eight thousand, eight hundred seventeen".

Divisors: 1 13 59 61 193 767 793 2509 3481 3599 11387 11773 37249 45253 46787 148031 153049 212341 484237 671833 694607 2197691 2272189 2760433 8733829 9029891 28569983 29538457 40981813 129663769 134059151 532763569 1685628997 1742768963 7909489909 102823368817