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102056608369 = 101231632
BaseRepresentation
bin101111100001100001…
…1000100001001110001
3100202102111111212120001
41133003003010021301
53133002442431434
6114514551150001
710242025600162
oct1370303041161
9322374455501
10102056608369
113a311327441
1217942675301
139815917081
144d22253769
1529c4a80114
hex17c30c4271

102056608369 has 9 divisors (see below), whose sum is σ = 103109673099. Its totient is φ = 101014200600.

The previous prime is 102056608327. The next prime is 102056608391. The reversal of 102056608369 is 963806650201.

The square root of 102056608369 is 319463.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 98054780769 + 4001827600 = 313137^2 + 63260^2 .

It is not a de Polignac number, because 102056608369 - 215 = 102056575601 is a prime.

It is a super-2 number, since 2×1020566083692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102056608309) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32264182 + ... + 32267344.

Almost surely, 2102056608369 is an apocalyptic number.

102056608369 is the 319463-rd square number.

102056608369 is the 159732-nd centered octagonal number.

It is an amenable number.

102056608369 is a deficient number, since it is larger than the sum of its proper divisors (1053064730).

102056608369 is an frugal number, since it uses more digits than its factorization.

102056608369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6528 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 102056608369 in words is "one hundred two billion, fifty-six million, six hundred eight thousand, three hundred sixty-nine".

Divisors: 1 101 3163 10201 319463 10004569 32265763 1010461469 102056608369