Search a number
-
+
133022315025 = 32521952275953
BaseRepresentation
bin111101111100010111…
…1110111001000010001
3110201100112221202102100
41323320233313020101
54134412203040100
6141035401511013
712416263010265
oct1737057671021
9421315852370
10133022315025
11514616a1146
1221944aa2469
13c70c0a0112
14661ca400a5
1536d8364400
hex1ef8bf7211

133022315025 has 72 divisors (see below), whose sum is σ = 250887746720. Its totient is φ = 67187128320.

The previous prime is 133022314967. The next prime is 133022315047. The reversal of 133022315025 is 520513220331.

It is a happy number.

133022315025 is a `hidden beast` number, since 133 + 0 + 2 + 23 + 1 + 502 + 5 = 666.

It is not a de Polignac number, because 133022315025 - 26 = 133022314961 is a prime.

It is a super-2 number, since 2×1330223150252 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133022315025.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22342449 + ... + 22348401.

Almost surely, 2133022315025 is an apocalyptic number.

133022315025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133022315025 is a deficient number, since it is larger than the sum of its proper divisors (117865431695).

133022315025 is a wasteful number, since it uses less digits than its factorization.

133022315025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11215 (or 11207 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 133022315025 its reverse (520513220331), we get a palindrome (653535535356).

The spelling of 133022315025 in words is "one hundred thirty-three billion, twenty-two million, three hundred fifteen thousand, twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 475 855 1425 4275 5227 5953 15681 17859 26135 29765 47043 53577 78405 89295 99313 113107 130675 148825 235215 267885 297939 339321 392025 446475 496565 565535 893817 1017963 1176075 1339425 1489695 1696605 2482825 2827675 4469085 5089815 7448475 8483025 22345425 25449075 31116331 93348993 155581655 280046979 466744965 591210289 777908275 1400234895 1773630867 2333724825 2956051445 5320892601 7001174475 8868154335 14780257225 26604463005 44340771675 133022315025