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21300430412241 = 332238214309001
BaseRepresentation
bin1001101011111011001001…
…00101101001100111010001
32210102022010121201011111000
410311331210211221213101
510242441240141142431
6113145141015012213
74325622344111421
oct465754445514721
983368117634430
1021300430412241
116872509737322
1224801bb06a069
13bb681160a276
14538d36a46481
1526e11697a9e6
hex135f649699d1

21300430412241 has 32 divisors (see below), whose sum is σ = 31736316810240. Its totient is φ = 14119386480000.

The previous prime is 21300430412213. The next prime is 21300430412249. The reversal of 21300430412241 is 14221403400312.

21300430412241 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 0 + 4 + 3 + 0 + 412 + 241 = 666.

It is not a de Polignac number, because 21300430412241 - 223 = 21300422023633 is a prime.

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 (21300430412249) 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, 2788741 + ... + 7097741.

It is an arithmetic number, because the mean of its divisors is an integer number (991759900320).

Almost surely, 221300430412241 is an apocalyptic number.

It is an amenable number.

21300430412241 is a deficient number, since it is larger than the sum of its proper divisors (10435886397999).

21300430412241 is a wasteful number, since it uses less digits than its factorization.

21300430412241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4310054 (or 4310048 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 21300430412241 its reverse (14221403400312), we get a palindrome (35521833812553).

The spelling of 21300430412241 in words is "twenty-one trillion, three hundred billion, four hundred thirty million, four hundred twelve thousand, two hundred forty-one".

Divisors: 1 3 9 27 223 669 821 2007 2463 6021 7389 22167 183083 549249 1647747 4309001 4943241 12927003 38781009 116343027 960907223 2882721669 3537689821 8648165007 10613069463 25944495021 31839208389 95517625167 788904830083 2366714490249 7100143470747 21300430412241