Search a number
-
+
130053357 = 357101757
BaseRepresentation
bin1111100000001…
…11010011101101
3100001201101200000
413300013103231
5231243201412
620523254513
73136302210
oct760072355
9301641600
10130053357
1167459015
123767a439
1320c36b65
14133b5777
15b63e4dc
hex7c074ed

130053357 has 48 divisors (see below), whose sum is σ = 225144192. Its totient is φ = 73483200.

The previous prime is 130053337. The next prime is 130053359. The reversal of 130053357 is 753350031.

130053357 is a `hidden beast` number, since 1 + 300 + 5 + 3 + 357 = 666.

It is not a de Polignac number, because 130053357 - 27 = 130053229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 130053357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130053359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171423 + ... + 172179.

It is an arithmetic number, because the mean of its divisors is an integer number (4690504).

Almost surely, 2130053357 is an apocalyptic number.

It is an amenable number.

130053357 is a deficient number, since it is larger than the sum of its proper divisors (95090835).

130053357 is an equidigital number, since it uses as much as digits as its factorization.

130053357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 130053357 is about 11404.0938701854. The cubic root of 130053357 is about 506.6489990281.

The spelling of 130053357 in words is "one hundred thirty million, fifty-three thousand, three hundred fifty-seven".

Divisors: 1 3 7 9 21 27 63 81 101 189 243 303 567 707 757 909 1701 2121 2271 2727 5299 6363 6813 8181 15897 19089 20439 24543 47691 57267 61317 76457 143073 171801 183951 229371 429219 535199 688113 1287657 1605597 2064339 4816791 6193017 14450373 18579051 43351119 130053357