Search a number
-
+
120256515225 = 325271119365327
BaseRepresentation
bin110111111111111011…
…0001100110010011001
3102111101212211221020100
41233333312030302121
53432241131441400
6131124534250013
711455032341130
oct1577766146231
9374355757210
10120256515225
1147000738880
121b3817b6909
13b45639b422
145b6b43a917
1531dc775100
hex1bffd8cc99

120256515225 has 144 divisors (see below), whose sum is σ = 282676193280. Its totient is φ = 47346249600.

The previous prime is 120256515221. The next prime is 120256515227. The reversal of 120256515225 is 522515652021.

120256515225 is a `hidden beast` number, since 1 + 20 + 2 + 565 + 1 + 52 + 25 = 666.

It is not a de Polignac number, because 120256515225 - 22 = 120256515221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120256515225.

It is not an unprimeable number, because it can be changed into a prime (120256515221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 146512 + ... + 511838.

It is an arithmetic number, because the mean of its divisors is an integer number (1963029120).

Almost surely, 2120256515225 is an apocalyptic number.

120256515225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120256515225 is an abundant number, since it is smaller than the sum of its proper divisors (162419678055).

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

120256515225 is a wasteful number, since it uses less digits than its factorization.

120256515225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365380 (or 365372 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 120256515225 in words is "one hundred twenty billion, two hundred fifty-six million, five hundred fifteen thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 19 21 25 33 35 45 55 57 63 75 77 95 99 105 133 165 171 175 209 225 231 275 285 315 385 399 475 495 525 627 665 693 825 855 1045 1155 1197 1425 1463 1575 1881 1925 1995 2475 3135 3325 3465 4275 4389 5225 5775 5985 7315 9405 9975 13167 15675 17325 21945 29925 36575 47025 65835 109725 329175 365327 1095981 1826635 2557289 3287943 4018597 5479905 6941213 7671867 9133175 12055791 12786445 16439715 20092985 20823639 23015601 27399525 28130179 34706065 36167373 38359335 48588491 60278955 62470917 63932225 76353343 82198575 84390537 100464925 104118195 115078005 140650895 145765473 173530325 180836865 191796675 229060029 242942455 253171611 301394775 312354585 381766715 421952685 437296419 520590975 534473401 575390025 687180087 703254475 728827365 904184325 1145300145 1214712275 1265858055 1561772925 1603420203 1908833575 2109763425 2186482095 2672367005 3435900435 3644136825 4810260609 5726500725 6329290275 8017101015 10932410475 13361835025 17179502175 24051303045 40085505075 120256515225