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22323121200431 = 271659152382073
BaseRepresentation
bin1010001001101100000011…
…01101011001110100101111
32221001001212200212001200122
411010312001231121310233
510411220223011403211
6115251033355515155
74462535516303042
oct504660155316457
987031780761618
1022323121200431
117127200a56227
122606454158abb
13c5c0a489029c
1457263288ac59
1528aa202c36db
hex144d81b59d2f

22323121200431 has 16 divisors (see below), whose sum is σ = 22454500907520. Its totient is φ = 22192147333440.

The previous prime is 22323121200383. The next prime is 22323121200433. The reversal of 22323121200431 is 13400212132322.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22323121200431 is a prime.

It is a super-3 number, since 3×223231212004313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22323121200431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22323121200433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271950011 + ... + 272032083.

It is an arithmetic number, because the mean of its divisors is an integer number (1403406306720).

Almost surely, 222323121200431 is an apocalyptic number.

22323121200431 is a deficient number, since it is larger than the sum of its proper divisors (131379707089).

22323121200431 is a wasteful number, since it uses less digits than its factorization.

22323121200431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84526.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 22323121200431 its reverse (13400212132322), we get a palindrome (35723333332753).

The spelling of 22323121200431 in words is "twenty-two trillion, three hundred twenty-three billion, one hundred twenty-one million, two hundred thousand, four hundred thirty-one".

Divisors: 1 271 659 1523 82073 178589 412733 1003657 22241783 54086107 124997179 271991047 14657334997 33874235509 82373140961 22323121200431