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132121345225 = 5213925232
BaseRepresentation
bin111101100001100001…
…0111011110011001001
3110122000202121202012111
41323003002323303021
54131041031021400
6140410134542321
712355042622212
oct1730302736311
9418022552174
10132121345225
115103a067201
12217332079a1
13c5c75271ac
146575110409
1536841e53ba
hex1ec30bbcc9

132121345225 has 27 divisors (see below), whose sum is σ = 165333708423. Its totient is φ = 104736021840.

The previous prime is 132121345217. The next prime is 132121345283. The reversal of 132121345225 is 522543121231.

It is a happy number.

The square root of 132121345225 is 363485.

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., 47563684281 + 84557660944 = 218091^2 + 290788^2 .

It is not a de Polignac number, because 132121345225 - 23 = 132121345217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 252621814 + ... + 252622336.

Almost surely, 2132121345225 is an apocalyptic number.

132121345225 is the 363485-th square number.

132121345225 is the 181743-rd centered octagonal number.

It is an amenable number.

132121345225 is a deficient number, since it is larger than the sum of its proper divisors (33212363198).

132121345225 is an frugal number, since it uses more digits than its factorization.

132121345225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 667 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

Adding to 132121345225 its reverse (522543121231), we get a palindrome (654664466456).

The spelling of 132121345225 in words is "one hundred thirty-two billion, one hundred twenty-one million, three hundred forty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 139 523 695 2615 3475 13075 19321 72697 96605 273529 363485 483025 1367645 1817425 6838225 10104883 38020531 50524415 190102655 252622075 950513275 5284853809 26424269045 132121345225