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22133130132033 = 3231751105632777
BaseRepresentation
bin1010000100001010001010…
…10110111111101001000001
32220100220110220010210011200
411002011011112333221001
510400112122303211113
6115023453011531413
74443031412000454
oct502050526775101
986326426123150
1022133130132033
117063675a4a528
1225956705b9b69
13c471b7067a5b
1456736bbb549b
15285b008c3873
hex1421455bfa41

22133130132033 has 24 divisors (see below), whose sum is σ = 33045313207296. Its totient is φ = 14260424760000.

The previous prime is 22133130132013. The next prime is 22133130132059. The reversal of 22133130132033 is 33023103133122.

22133130132033 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 3 + 1 + 301 + 320 + 33 = 666.

It is a de Polignac number, because none of the positive numbers 2k-22133130132033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22133130131988 and 22133130132006.

It is not an unprimeable number, because it can be changed into a prime (22133130132013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52606860 + ... + 53025917.

It is an arithmetic number, because the mean of its divisors is an integer number (1376888050304).

Almost surely, 222133130132033 is an apocalyptic number.

It is an amenable number.

22133130132033 is a deficient number, since it is larger than the sum of its proper divisors (10912183075263).

22133130132033 is a wasteful number, since it uses less digits than its factorization.

22133130132033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105633565 (or 105633562 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 22133130132033 its reverse (33023103133122), we get a palindrome (55156233265155).

The spelling of 22133130132033 in words is "twenty-two trillion, one hundred thirty-three billion, one hundred thirty million, one hundred thirty-two thousand, thirty-three".

Divisors: 1 3 9 31 93 279 751 2253 6759 23281 69843 209529 105632777 316898331 950694993 3274616087 9823848261 29471544783 79330215527 237990646581 713971939743 2459236681337 7377710044011 22133130132033