Search a number
-
+
130044142225 = 52171092807213
BaseRepresentation
bin111100100011100111…
…1000010001010010001
3110102122222222220101001
41321013033002022101
54112312300022400
6135424053142001
712252420653614
oct1710717021221
9412588886331
10130044142225
1150173589908
122125362a901
13c35608b8aa
1464192ba17b
1535b1b82a6a
hex1e473c2291

130044142225 has 24 divisors (see below), whose sum is σ = 172306795320. Its totient is φ = 97017246720.

The previous prime is 130044142213. The next prime is 130044142247. The reversal of 130044142225 is 522241440031.

It can be written as a sum of positive squares in 12 ways, for example, as 24047015041 + 105997127184 = 155071^2 + 325572^2 .

It is not a de Polignac number, because 130044142225 - 221 = 130042045073 is a prime.

It is a super-2 number, since 2×1300441422252 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130044142193 and 130044142202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1357282 + ... + 1449931.

It is an arithmetic number, because the mean of its divisors is an integer number (7179449805).

Almost surely, 2130044142225 is an apocalyptic number.

It is an amenable number.

130044142225 is a deficient number, since it is larger than the sum of its proper divisors (42262653095).

130044142225 is a wasteful number, since it uses less digits than its factorization.

130044142225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807349 (or 2807344 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 130044142225 its reverse (522241440031), we get a palindrome (652285582256).

The spelling of 130044142225 in words is "one hundred thirty billion, forty-four million, one hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 109 425 545 1853 2725 9265 46325 2807213 14036065 47722621 70180325 238613105 305986217 1193065525 1529931085 5201765689 7649655425 26008828445 130044142225