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102910715209 = 149221532
BaseRepresentation
bin101111111010111110…
…1001110010101001001
3100211122000122222212201
41133311331032111021
53141230120341314
6115135421440201
710302136434451
oct1376575162511
9324560588781
10102910715209
113a70a463565
1217b40710061
139920862733
144da3864d61
152a24a43b74
hex17f5f4e549

102910715209 has 9 divisors (see below), whose sum is σ = 103654170613. Its totient is φ = 102172561312.

The previous prime is 102910715207. The next prime is 102910715231. The reversal of 102910715209 is 902517019201.

The square root of 102910715209 is 320797.

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

It can be written as a sum of positive squares in 4 ways, for example, as 67727460025 + 35183255184 = 260245^2 + 187572^2 .

It is not a de Polignac number, because 102910715209 - 21 = 102910715207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102910715207) 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 8 ways as a sum of consecutive naturals, for example, 47797677 + ... + 47799829.

Almost surely, 2102910715209 is an apocalyptic number.

102910715209 is the 320797-th square number.

102910715209 is the 160399-th centered octagonal number.

It is an amenable number.

102910715209 is a deficient number, since it is larger than the sum of its proper divisors (743455404).

102910715209 is an frugal number, since it uses more digits than its factorization.

102910715209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 37.

The spelling of 102910715209 in words is "one hundred two billion, nine hundred ten million, seven hundred fifteen thousand, two hundred nine".

Divisors: 1 149 2153 22201 320797 4635409 47798753 690675941 102910715209