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110099866969 = 41280932
BaseRepresentation
bin110011010001001110…
…1101010010101011001
3101112012001022202002201
41212202131222111121
53300441031220334
6122325034130201
710645243266541
oct1464235522531
9345161282081
10110099866969
11427695606a4
1219408280961
13a4c80c4ca1
14548657c321
152ce5c72c14
hex19a276a559

110099866969 has 9 divisors (see below), whose sum is σ = 112864672189. Its totient is φ = 107401231840.

The previous prime is 110099866963. The next prime is 110099867011. The reversal of 110099866969 is 969668990011.

The square root of 110099866969 is 331813.

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 37839975625 + 72259891344 = 194525^2 + 268812^2 .

It is a de Polignac number, because none of the positive numbers 2k-110099866969 is a prime.

It is a super-2 number, since 2×1100998669692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110099866969.

It is not an unprimeable number, because it can be changed into a prime (110099866963) 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, 13600287 + ... + 13608379.

Almost surely, 2110099866969 is an apocalyptic number.

110099866969 is the 331813-rd square number.

110099866969 is the 165907-th centered octagonal number.

It is an amenable number.

110099866969 is a deficient number, since it is larger than the sum of its proper divisors (2764805220).

110099866969 is an frugal number, since it uses more digits than its factorization.

110099866969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16268 (or 8134 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 64.

Multiplying 110099866969 by its sum of digits (64), we get a square (7046391486016 = 26545042).

The spelling of 110099866969 in words is "one hundred ten billion, ninety-nine million, eight hundred sixty-six thousand, nine hundred sixty-nine".

Divisors: 1 41 1681 8093 331813 13604333 65496649 2685362609 110099866969