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22133323022031 = 32133129532066501
BaseRepresentation
bin1010000100001010100001…
…10110110011111011001111
32220100220222100002121111200
411002011100312303323033
510400113021143201111
6115023524102120543
74443036243353124
oct502052066637317
986326870077450
1022133323022031
117063764916651
122595705120153
13c47218002a50
1456738966674b
15285b127c6256
hex142150db3ecf

22133323022031 has 48 divisors (see below), whose sum is σ = 35552298792192. Its totient is φ = 13176665280000.

The previous prime is 22133323022029. The next prime is 22133323022033. The reversal of 22133323022031 is 13022032333122.

22133323022031 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 332 + 302 + 20 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (22133323022029) and next prime (22133323022033).

It is not a de Polignac number, because 22133323022031 - 21 = 22133323022029 is a prime.

It is a super-2 number, since 2×221333230220312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22133323021986 and 22133323022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133323022033) 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 47 ways as a sum of consecutive naturals, for example, 9677281 + ... + 11743781.

It is an arithmetic number, because the mean of its divisors is an integer number (740672891504).

Almost surely, 222133323022031 is an apocalyptic number.

22133323022031 is a deficient number, since it is larger than the sum of its proper divisors (13418975770161).

22133323022031 is a wasteful number, since it uses less digits than its factorization.

22133323022031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069504 (or 2069501 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 22133323022031 its reverse (13022032333122), we get a palindrome (35155355355153).

The spelling of 22133323022031 in words is "twenty-two trillion, one hundred thirty-three billion, three hundred twenty-three million, twenty-two thousand, thirty-one".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 2953 3627 8859 26577 38389 91543 115167 274629 345501 823887 1190059 2066501 3570177 6199503 10710531 18598509 26864513 64061531 80593539 192184593 241780617 576553779 832799903 2498399709 6102377453 7495199127 18307132359 54921397077 79330906889 189173701043 237992720667 567521103129 713978162001 1702563309387 2459258113559 7377774340677 22133323022031