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20031122133 = 3211631320657
BaseRepresentation
bin10010101001111100…
…101010101011010101
31220201000002102210100
4102221330222223111
5312010431402013
613111400244313
71306250504661
oct225174525325
956630072710
1020031122133
11854a0565a0
123a70470699
131b72c835b9
14d804a78a1
157c3867473
hex4a9f2aad5

20031122133 has 24 divisors (see below), whose sum is σ = 31614313536. Its totient is φ = 12120796800.

The previous prime is 20031122129. The next prime is 20031122141. The reversal of 20031122133 is 33122113002.

20031122133 is a `hidden beast` number, since 200 + 311 + 22 + 133 = 666.

It is not a de Polignac number, because 20031122133 - 22 = 20031122129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20031122173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97860 + ... + 222797.

It is an arithmetic number, because the mean of its divisors is an integer number (1317263064).

Almost surely, 220031122133 is an apocalyptic number.

It is an amenable number.

20031122133 is a deficient number, since it is larger than the sum of its proper divisors (11583191403).

20031122133 is a wasteful number, since it uses less digits than its factorization.

20031122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321305 (or 321302 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20031122133 its reverse (33122113002), we get a palindrome (53153235135).

The spelling of 20031122133 in words is "twenty billion, thirty-one million, one hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 11 33 99 631 1893 5679 6941 20823 62469 320657 961971 2885913 3527227 10581681 31745043 202334567 607003701 1821011103 2225680237 6677040711 20031122133