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109810716129 = 321104592
BaseRepresentation
bin110011001000100111…
…0101000110111100001
3101111102220020100201100
41212101032220313201
53244343020404004
6122240224425013
710635132454302
oct1462116506741
9344386210640
10109810716129
1142630317364
1219347478169
13a48022540a
145459dd07a9
152cca6a8739
hex19913a8de1

109810716129 has 9 divisors (see below), whose sum is σ = 158616914833. Its totient is φ = 73206481332.

The previous prime is 109810716121. The next prime is 109810716139. The reversal of 109810716129 is 921617018901.

It is a happy number.

The square root of 109810716129 is 331377.

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

109810716129 is a `hidden beast` number, since 10 + 9 + 8 + 10 + 7 + 1 + 612 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 109810716129 - 23 = 109810716121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109810716121) 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, 938902 + ... + 1049360.

Almost surely, 2109810716129 is an apocalyptic number.

109810716129 is the 331377-th square number.

109810716129 is the 165689-th centered octagonal number.

It is an amenable number.

109810716129 is a deficient number, since it is larger than the sum of its proper divisors (48806198704).

109810716129 is an frugal number, since it uses more digits than its factorization.

109810716129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220924 (or 110462 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 109810716129 in words is "one hundred nine billion, eight hundred ten million, seven hundred sixteen thousand, one hundred twenty-nine".

Divisors: 1 3 9 110459 331377 994131 12201190681 36603572043 109810716129