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109813367161 = 17210121932
BaseRepresentation
bin110011001000101100…
…0110000000101111001
3101111110002020001020201
41212101120300011321
53244344210222121
6122240401322201
710635164135251
oct1462130600571
9344402201221
10109813367161
11426318680a3
1219348336361
13a480942c84
14545a4c0961
152ccaa2de91
hex1991630179

109813367161 has 27 divisors (see below), whose sum is σ = 118432995303. Its totient is φ = 101800243200.

The previous prime is 109813367159. The next prime is 109813367177. The reversal of 109813367161 is 161763318901.

The square root of 109813367161 is 331381.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3315571561 + 106497795600 = 57581^2 + 326340^2 .

It is not a de Polignac number, because 109813367161 - 21 = 109813367159 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109811367161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 568981081 + ... + 568981273.

Almost surely, 2109813367161 is an apocalyptic number.

109813367161 is the 331381-st square number.

109813367161 is the 165691-st centered octagonal number.

It is an amenable number.

109813367161 is a deficient number, since it is larger than the sum of its proper divisors (8619628142).

109813367161 is an frugal number, since it uses more digits than its factorization.

109813367161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 109813367161 in words is "one hundred nine billion, eight hundred thirteen million, three hundred sixty-seven thousand, one hundred sixty-one".

Divisors: 1 17 101 193 289 1717 3281 10201 19493 29189 37249 55777 173417 331381 633233 1968793 2948089 3762149 5633477 10764961 33469481 63956533 379977049 568981177 1087261061 6459609833 109813367161