Search a number
-
+
22132131202023 = 3232411427932681
BaseRepresentation
bin1010000100001000010011…
…10100011000001111100111
32220100210220021110212210220
411002010021310120033213
510400103101041431043
6115023205525215423
74442664562144203
oct502041164301747
986323807425726
1022132131202023
117063203097637
122595431b61573
13c470881138cb
145672b5265b03
15285a92d54483
hex142109d183e7

22132131202023 has 32 divisors (see below), whose sum is σ = 30942001423872. Its totient is φ = 14044817740800.

The previous prime is 22132131202021. The next prime is 22132131202043. The reversal of 22132131202023 is 32020213123122.

It is not a de Polignac number, because 22132131202023 - 21 = 22132131202021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22132131201984 and 22132131202002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132131202021) 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 31 ways as a sum of consecutive naturals, for example, 23263243 + ... + 24195923.

It is an arithmetic number, because the mean of its divisors is an integer number (966937544496).

Almost surely, 222132131202023 is an apocalyptic number.

22132131202023 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

22132131202023 is a deficient number, since it is larger than the sum of its proper divisors (8809870221849).

22132131202023 is a wasteful number, since it uses less digits than its factorization.

22132131202023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934375.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22132131202023 its reverse (32020213123122), we get a palindrome (54152344325145).

The spelling of 22132131202023 in words is "twenty-two trillion, one hundred thirty-two billion, one hundred thirty-one million, two hundred two thousand, twenty-three".

Divisors: 1 3 23 69 241 723 1427 4281 5543 16629 32821 98463 343907 932681 1031721 2798043 7909861 21451663 23729583 64354989 224776121 674328363 1330935787 3992807361 5169850783 15509552349 30611523101 91834569303 320755524667 962266574001 7377377067341 22132131202023