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21300442004331 = 3272254914994113
BaseRepresentation
bin1001101011111011001010…
…10001110111101101101011
32210102022011102112002211200
410311331211101313231223
510242441301123114311
6113145142111255243
74325622544461540
oct465754521675553
983368142462750
1021300442004331
116872515234666
122480202b1a523
13bb6813b386a9
14538d383c2bc7
1526e1179ba556
hex135f65477b6b

21300442004331 has 24 divisors (see below), whose sum is σ = 35164196152800. Its totient is φ = 12171140545536.

The previous prime is 21300442004251. The next prime is 21300442004339. The reversal of 21300442004331 is 13340024400312.

21300442004331 is a `hidden beast` number, since 2 + 1 + 300 + 4 + 4 + 20 + 0 + 4 + 331 = 666.

It is not a de Polignac number, because 21300442004331 - 221 = 21300439907179 is a prime.

It is a super-2 number, since 2×213004420043312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21300442004295 and 21300442004304.

It is not an unprimeable number, because it can be changed into a prime (21300442004339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6076470 + ... + 8917643.

It is an arithmetic number, because the mean of its divisors is an integer number (1465174839700).

Almost surely, 221300442004331 is an apocalyptic number.

21300442004331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21300442004331 is a deficient number, since it is larger than the sum of its proper divisors (13863754148469).

21300442004331 is a wasteful number, since it uses less digits than its factorization.

21300442004331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15016675 (or 15016672 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 21300442004331 its reverse (13340024400312), we get a palindrome (34640466404643).

The spelling of 21300442004331 in words is "twenty-one trillion, three hundred billion, four hundred forty-two million, four thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 22549 67647 157843 202941 473529 1420587 14994113 44982339 104958791 134947017 314876373 944629119 338102254037 1014306762111 2366715778259 3042920286333 7100147334777 21300442004331