Search a number
-
+
130553014149 = 32191370955691
BaseRepresentation
bin111100110010110010…
…0001110011110000101
3110110222110112021102100
41321211210032132011
54114333032423044
6135550352102313
712301140211335
oct1714544163605
9413873467370
10130553014149
1150404855918
1221375b34999
13c40762bc3c
146466b010c5
1535e169e869
hex1e6590e785

130553014149 has 24 divisors (see below), whose sum is σ = 198519703200. Its totient is φ = 82447040160.

The previous prime is 130553014147. The next prime is 130553014153. The reversal of 130553014149 is 941410355031.

130553014149 is a `hidden beast` number, since 1 + 305 + 5 + 301 + 4 + 1 + 49 = 666.

It is not a de Polignac number, because 130553014149 - 21 = 130553014147 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130553014147) by changing a digit.

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, 2316394 + ... + 2372084.

It is an arithmetic number, because the mean of its divisors is an integer number (8271654300).

Almost surely, 2130553014149 is an apocalyptic number.

130553014149 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

130553014149 is a deficient number, since it is larger than the sum of its proper divisors (67966689051).

130553014149 is a wasteful number, since it uses less digits than its factorization.

130553014149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69425 (or 69422 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 130553014149 in words is "one hundred thirty billion, five hundred fifty-three million, fourteen thousand, one hundred forty-nine".

Divisors: 1 3 9 19 57 171 13709 41127 55691 123381 167073 260471 501219 781413 1058129 2344239 3174387 9523161 763467919 2290403757 6871211271 14505890461 43517671383 130553014149