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102314897689 = 101231672
BaseRepresentation
bin101111101001001110…
…0010111000100011001
3100210002111112022220011
41133102130113010121
53134020103211224
6115000335201521
710251313165234
oct1372234270431
9323074468804
10102314897689
113a434101a94
12179b50762a1
13985729c7a4
144d4868a41b
1529dc5a0394
hex17d2717119

102314897689 has 9 divisors (see below), whose sum is σ = 103370586271. Its totient is φ = 101269892200.

The previous prime is 102314897621. The next prime is 102314897813. The reversal of 102314897689 is 986798413201.

The square root of 102314897689 is 319867.

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., 98302942089 + 4011955600 = 313533^2 + 63340^2 .

It is not a de Polignac number, because 102314897689 - 215 = 102314864921 is a prime.

It is a super-2 number, since 2×1023148976892 (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 (102314892689) 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 8 ways as a sum of consecutive naturals, for example, 32304984 + ... + 32308150.

Almost surely, 2102314897689 is an apocalyptic number.

102314897689 is the 319867-th square number.

102314897689 is the 159934-th centered octagonal number.

It is an amenable number.

102314897689 is a deficient number, since it is larger than the sum of its proper divisors (1055688582).

102314897689 is an frugal number, since it uses more digits than its factorization.

102314897689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 58.

The spelling of 102314897689 in words is "one hundred two billion, three hundred fourteen million, eight hundred ninety-seven thousand, six hundred eighty-nine".

Divisors: 1 101 3167 10201 319867 10029889 32306567 1013018789 102314897689