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252411350130 = 232522912247033
BaseRepresentation
bin1110101100010011100…
…0111000110001110010
3220010111222111010122100
43223010320320301302
513113414301201010
6311542311121230
724143663035032
oct3530470706162
9803458433570
10252411350130
11980576992a5
1240b04073216
131aa5781caa4
14c306b878c2
1568748832c0
hex3ac4e38c72

252411350130 has 48 divisors (see below), whose sum is σ = 659135369880. Its totient is φ = 67015759104.

The previous prime is 252411350129. The next prime is 252411350141. The reversal of 252411350130 is 31053114252.

252411350130 is a `hidden beast` number, since 2 + 524 + 1 + 1 + 3 + 5 + 0 + 130 = 666.

252411350130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 245646123129 + 6765227001 = 495627^2 + 82251^2 .

It is a super-2 number, since 2×2524113501302 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252411350094 and 252411350103.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6102907 + ... + 6144126.

Almost surely, 2252411350130 is an apocalyptic number.

252411350130 is an abundant number, since it is smaller than the sum of its proper divisors (406724019750).

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

252411350130 is a wasteful number, since it uses less digits than its factorization.

252411350130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12247275 (or 12247272 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 252411350130 its reverse (31053114252), we get a palindrome (283464464382).

The spelling of 252411350130 in words is "two hundred fifty-two billion, four hundred eleven million, three hundred fifty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 229 458 687 1145 1374 2061 2290 3435 4122 6870 10305 20610 12247033 24494066 36741099 61235165 73482198 110223297 122470330 183705495 220446594 367410990 551116485 1102232970 2804570557 5609141114 8413711671 14022852785 16827423342 25241135013 28045705570 42068558355 50482270026 84137116710 126205675065 252411350130