Search a number
-
+
133300002121 = 11132791516011
BaseRepresentation
bin111110000100101001…
…1001001110101001001
3110202001220110201111121
41330021103021311021
54140444300031441
6141123121355241
712426204215536
oct1741123116511
9422056421447
10133300002121
1151594415610
1221a01a98b21
13c754787b00
146647885d8d
153702916dd1
hex1f094c9d49

133300002121 has 48 divisors (see below), whose sum is σ = 160540600320. Its totient is φ = 109694520000.

The previous prime is 133300002103. The next prime is 133300002127. The reversal of 133300002121 is 121200003331.

It is not a de Polignac number, because 133300002121 - 25 = 133300002089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133300002095 and 133300002104.

It is not an unprimeable number, because it can be changed into a prime (133300002127) 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, 22173006 + ... + 22179016.

It is an arithmetic number, because the mean of its divisors is an integer number (3344595840).

Almost surely, 2133300002121 is an apocalyptic number.

133300002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133300002121 is a deficient number, since it is larger than the sum of its proper divisors (27240598199).

133300002121 is a wasteful number, since it uses less digits than its factorization.

133300002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278 (or 6265 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 133300002121 its reverse (121200003331), we get a palindrome (254500005452).

The spelling of 133300002121 in words is "one hundred thirty-three billion, three hundred million, two thousand, one hundred twenty-one".

Divisors: 1 11 13 79 143 151 169 869 1027 1661 1859 1963 6011 11297 11929 13351 21593 25519 66121 78143 131219 146861 155077 280709 474869 859573 907661 1015859 1705847 2016001 5223559 6173297 9984271 11174449 11799593 22176011 67906267 71705219 80252861 129795523 153394709 788757409 882781471 932167847 1687341799 10253846317 12118182011 133300002121