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22442442212313 = 336329131332211
BaseRepresentation
bin1010001101001010010011…
…10010111100001111011001
32221110110212101101111121000
411012211021302330033121
510420144110201243223
6115421525435135213
74504261432206204
oct506451162741731
987413771344530
1022442442212313
117172871612542
1226255b45a4509
13c6a40c1b4126
1457831196893b
1528dba5857543
hex146949cbc3d9

22442442212313 has 16 divisors (see below), whose sum is σ = 33253316078400. Its totient is φ = 14959264047840.

The previous prime is 22442442212287. The next prime is 22442442212317. The reversal of 22442442212313 is 31321224424422.

22442442212313 is a `hidden beast` number, since 2 + 2 + 4 + 424 + 4 + 2 + 212 + 3 + 13 = 666.

It is not a de Polignac number, because 22442442212313 - 26 = 22442442212249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22442442212317) 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, 65495223 + ... + 65836988.

It is an arithmetic number, because the mean of its divisors is an integer number (2078332254900).

Almost surely, 222442442212313 is an apocalyptic number.

It is an amenable number.

22442442212313 is a deficient number, since it is larger than the sum of its proper divisors (10810873866087).

22442442212313 is a wasteful number, since it uses less digits than its factorization.

22442442212313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131338549 (or 131338543 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 22442442212313 its reverse (31321224424422), we get a palindrome (53763666636735).

The spelling of 22442442212313 in words is "twenty-two trillion, four hundred forty-two billion, four hundred forty-two million, two hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 9 27 6329 18987 56961 170883 131332211 393996633 1181989899 3545969697 831201563419 2493604690257 7480814070771 22442442212313