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9122160100 = 225295512
BaseRepresentation
bin10000111111011100…
…10001110111100100
3212112201221202011111
420133232101313210
5122140233110400
64105103314404
7442025036644
oct103756216744
925481852144
109122160100
113961248999
121926baba04
13b24b82491
14627734524
15385cac3ba
hex21fb91de4

9122160100 has 27 divisors (see below), whose sum is σ = 19797160201. Its totient is φ = 3648482000.

The previous prime is 9122160049. The next prime is 9122160107. The reversal of 9122160100 is 10612219.

The square root of 9122160100 is 95510.

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., 3283977636 + 5838182464 = 57306^2 + 76408^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9122160107) 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, 950325 + ... + 959875.

Almost surely, 29122160100 is an apocalyptic number.

9122160100 is the 95510-th square number.

It is an amenable number.

9122160100 is an abundant number, since it is smaller than the sum of its proper divisors (10675000101).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9122160100 is an frugal number, since it uses more digits than its factorization.

9122160100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19116 (or 9558 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The cubic root of 9122160100 is about 2089.4527920375.

Adding to 9122160100 its reverse (10612219), we get a palindrome (9132772319).

It can be divided in two parts, 91221 and 60100, that added together give a square (151321 = 3892).

The spelling of 9122160100 in words is "nine billion, one hundred twenty-two million, one hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 9551 19102 38204 47755 95510 191020 238775 477550 955100 91221601 182443202 364886404 456108005 912216010 1824432020 2280540025 4561080050 9122160100