Search a number
-
+
133312332330 = 23352511967129
BaseRepresentation
bin111110000101000001…
…0001100001000101010
3110202002202200011101000
41330022002030020222
54141010424113310
6141124241535430
712426414061632
oct1741202141052
9422082604330
10133312332330
11515a0377471
1221a06044576
13c7571b41a8
1466493756c2
153703a504c0
hex1f0a08c22a

133312332330 has 64 divisors (see below), whose sum is σ = 356916067200. Its totient is φ = 35408304000.

The previous prime is 133312332323. The next prime is 133312332337. The reversal of 133312332330 is 33233213331.

133312332330 is a `hidden beast` number, since 1 + 3 + 331 + 2 + 3 + 323 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133312332323) and next prime (133312332337).

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

It is a junction number, because it is equal to n+sod(n) for n = 133312332294 and 133312332303.

It is not an unprimeable number, because it can be changed into a prime (133312332337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915795 + ... + 1051334.

It is an arithmetic number, because the mean of its divisors is an integer number (5576813550).

Almost surely, 2133312332330 is an apocalyptic number.

133312332330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133312332330 is an abundant number, since it is smaller than the sum of its proper divisors (223603734870).

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

133312332330 is a wasteful number, since it uses less digits than its factorization.

133312332330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967396 (or 1967390 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 133312332330 its reverse (33233213331), we get a palindrome (166545545661).

The spelling of 133312332330 in words is "one hundred thirty-three billion, three hundred twelve million, three hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 251 270 502 753 1255 1506 2259 2510 3765 4518 6777 7530 11295 13554 22590 33885 67770 1967129 3934258 5901387 9835645 11802774 17704161 19671290 29506935 35408322 53112483 59013870 88520805 106224966 177041610 265562415 493749379 531124830 987498758 1481248137 2468746895 2962496274 4443744411 4937493790 7406240685 8887488822 13331233233 14812481370 22218722055 26662466466 44437444110 66656166165 133312332330