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204022132431 = 313237125112763
BaseRepresentation
bin1011111000000010101…
…0101010111011001111
3201111121122122011221020
42332000222222323033
511320314131214211
6233420530205223
720511600340425
oct2760052527317
9644548564836
10204022132431
11795861a1897
123365a723813
13163156bc7b0
149c36357115
15549161c306
hex2f80aaaecf

204022132431 has 64 divisors (see below), whose sum is σ = 311256981504. Its totient is φ = 117920880000.

The previous prime is 204022132417. The next prime is 204022132451. The reversal of 204022132431 is 134231220402.

It is a happy number.

It is not a de Polignac number, because 204022132431 - 211 = 204022130383 is a prime.

It is a super-2 number, since 2×2040221324312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204022132451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15979056 + ... + 15991818.

It is an arithmetic number, because the mean of its divisors is an integer number (4863390336).

Almost surely, 2204022132431 is an apocalyptic number.

204022132431 is a deficient number, since it is larger than the sum of its proper divisors (107234849073).

204022132431 is a wasteful number, since it uses less digits than its factorization.

204022132431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13124.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 204022132431 its reverse (134231220402), we get a palindrome (338253352833).

The spelling of 204022132431 in words is "two hundred four billion, twenty-two million, one hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 3 13 23 39 69 71 213 251 299 753 897 923 1633 2769 3263 4899 5773 9789 12763 17319 17821 21229 38289 53463 63687 75049 165919 225147 231673 293549 409883 497757 695019 880647 906173 1229649 2718519 3203513 3816137 5328479 9610539 11448411 11780249 15985437 20841979 35340747 41645669 62525937 73680799 124937007 221042397 227449423 270945727 682348269 812837181 957850387 2873551161 2956842499 5231336729 8870527497 15694010187 68007377477 204022132431