Search a number
-
+
131999763483225 = 325211217923892
BaseRepresentation
bin11110000000110110010111…
…000000110100101001011001
3122022101001110110210211201100
4132000312113000310221121
5114300141003422430400
61144423504301342013
736542445122642331
oct3600662700645131
9568331413724640
10131999763483225
1139071870294500
121297a531867909
1358866a7b17cb1
142484b734820c1
15103d93b907100
hex780d97034a59

131999763483225 has 243 divisors, whose sum is σ = 262006926741469. Its totient is φ = 63478739068800.

The previous prime is 131999763483199. The next prime is 131999763483229. The reversal of 131999763483225 is 522384367999131.

The square root of 131999763483225 is 11489115.

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

131999763483225 is a `hidden beast` number, since 1 + 3 + 199 + 9 + 76 + 3 + 48 + 322 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21942207431001 + 110057556052224 = 4684251^2 + 10490832^2 .

It is not a de Polignac number, because 131999763483225 - 231 = 131997615999577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131999763483229) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 339331011331 + ... + 339331011719.

Almost surely, 2131999763483225 is an apocalyptic number.

131999763483225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131999763483225 is the 11489115-th square number.

131999763483225 is the 5744558-th centered octagonal number.

It is an amenable number.

131999763483225 is a deficient number, since it is larger than the sum of its proper divisors (130007163258244).

131999763483225 is an equidigital number, since it uses as much as digits as its factorization.

131999763483225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 587 counting only the distinct ones).

The product of its digits is 529079040, while the sum is 72.

The spelling of 131999763483225 in words is "one hundred thirty-one trillion, nine hundred ninety-nine billion, seven hundred sixty-three million, four hundred eighty-three thousand, two hundred twenty-five".