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22044532432131 = 3311194833809681
BaseRepresentation
bin1010000001100101001001…
…00001100101110100000011
32220001102210100221022011000
411000302210201211310003
510342134200300312011
6114515041323423043
74433444030656416
oct500624441456403
986042710838130
1022044532432131
11702a040949240
122580465384a83
13c3ba3791b161
14562d65227b7d
152836676e3356
hex140ca4865d03

22044532432131 has 32 divisors (see below), whose sum is σ = 35629365162240. Its totient is φ = 13359633436800.

The previous prime is 22044532432129. The next prime is 22044532432141. The reversal of 22044532432131 is 13123423544022.

22044532432131 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 4 + 5 + 324 + 321 + 3 + 1 = 666.

It is not a de Polignac number, because 22044532432131 - 21 = 22044532432129 is a prime.

It is a super-3 number, since 3×220445324321313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22044532432141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3881611 + ... + 7691291.

It is an arithmetic number, because the mean of its divisors is an integer number (1113417661320).

Almost surely, 222044532432131 is an apocalyptic number.

22044532432131 is a deficient number, since it is larger than the sum of its proper divisors (13584832730109).

22044532432131 is a wasteful number, since it uses less digits than its factorization.

22044532432131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829184 (or 3829178 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 22044532432131 its reverse (13123423544022), we get a palindrome (35167955976153).

The spelling of 22044532432131 in words is "twenty-two trillion, forty-four billion, five hundred thirty-two million, four hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 19483 58449 175347 214313 526041 642939 1928817 3809681 5786451 11429043 34287129 41906491 102861387 125719473 377158419 1131475257 74224014923 222672044769 668016134307 816464164153 2004048402921 2449392492459 7348177477377 22044532432131