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21442513023513 = 3319131319070771
BaseRepresentation
bin1001110000000011110010…
…10111110011001000011001
32210220212212121012122211000
410320001321113303020121
510302303231313223023
6113334315434255213
74342112314302621
oct470017127631031
983825777178730
1021442513023513
11691779a6620aa
1224a3852287509
13bc70357ac40a
14541b74ab5881
15272b8042c243
hex1380795f3219

21442513023513 has 32 divisors (see below), whose sum is σ = 33693873523200. Its totient is φ = 13439260832400.

The previous prime is 21442513023511. The next prime is 21442513023527. The reversal of 21442513023513 is 31532031524412.

21442513023513 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 2 + 5 + 130 + 2 + 3 + 513 = 666.

It is not a de Polignac number, because 21442513023513 - 21 = 21442513023511 is a prime.

It is a super-2 number, since 2×214425130235132 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21442513023511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159468183 + ... + 159602588.

It is an arithmetic number, because the mean of its divisors is an integer number (1052933547600).

Almost surely, 221442513023513 is an apocalyptic number.

It is an amenable number.

21442513023513 is a deficient number, since it is larger than the sum of its proper divisors (12251360499687).

21442513023513 is a wasteful number, since it uses less digits than its factorization.

21442513023513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319070930 (or 319070924 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 21442513023513 its reverse (31532031524412), we get a palindrome (52974544547925).

The spelling of 21442513023513 in words is "twenty-one trillion, four hundred forty-two billion, five hundred thirteen million, twenty-three thousand, five hundred thirteen".

Divisors: 1 3 9 19 27 57 131 171 393 513 1179 2489 3537 7467 22401 67203 319070771 957212313 2871636939 6062344649 8614910817 18187033947 41798271001 54561101841 125394813003 163683305523 376184439009 794167149019 1128553317027 2382501447057 7147504341171 21442513023513