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22320112140513 = 3311393411910269
BaseRepresentation
bin1010001001100110011100…
…10110110000000011100001
32221000210002222202222111000
411010303032112300003201
510411143042201444023
6115245415025142213
74462401120564435
oct504631626600341
987023088688430
1022320112140513
1171259a7467a50
12260595448a969
13c5ba15356065
14572428da69c5
1528a8e6040243
hex144cce5b00e1

22320112140513 has 32 divisors (see below), whose sum is σ = 36073844323200. Its totient is φ = 13526989761600.

The previous prime is 22320112140461. The next prime is 22320112140527. The reversal of 22320112140513 is 31504121102322.

It is a happy number.

22320112140513 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 0 + 1 + 1 + 2 + 140 + 513 = 666.

It is not a de Polignac number, because 22320112140513 - 210 = 22320112139489 is a prime.

It is a super-3 number, since 3×223201121405133 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22320112140583) 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, 10729143 + ... + 12639411.

It is an arithmetic number, because the mean of its divisors is an integer number (1127307635100).

Almost surely, 222320112140513 is an apocalyptic number.

It is an amenable number.

22320112140513 is a deficient number, since it is larger than the sum of its proper divisors (13753732182687).

22320112140513 is a wasteful number, since it uses less digits than its factorization.

22320112140513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949630 (or 1949624 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 22320112140513 its reverse (31504121102322), we get a palindrome (53824233242835).

The spelling of 22320112140513 in words is "twenty-two trillion, three hundred twenty billion, one hundred twelve million, one hundred forty thousand, five hundred thirteen".

Divisors: 1 3 9 11 27 33 99 297 39341 118023 354069 432751 1062207 1298253 1910269 3894759 5730807 11684277 17192421 21012959 51577263 63038877 189116631 567349893 75151892729 225455678187 676367034561 826670820019 2029101103683 2480012460057 7440037380171 22320112140513