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213301130100021 = 3252190197504337
BaseRepresentation
bin110000011111111100001010…
…000101101111110100110101
31000222020101111111112122101100
4300133330022011233310311
5210424211203301200041
62033353104133120313
762633332563601035
oct6037741205576465
91028211444478340
10213301130100021
1161a675572131a7
121bb0b230a89099
139203296c35222
143a95b88cc38c5
15199d6ba2146b6
hexc1ff0a16fd35

213301130100021 has 24 divisors (see below), whose sum is σ = 308697032778264. Its totient is φ = 141925960350720.

The previous prime is 213301130099971. The next prime is 213301130100031. The reversal of 213301130100021 is 120001031103312.

213301130100021 is a `hidden beast` number, since 2 + 1 + 330 + 11 + 301 + 0 + 0 + 0 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37868085227025 + 175433044872996 = 6153705^2 + 13245114^2 .

It is not a de Polignac number, because 213301130100021 - 241 = 211102106844469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213301130099967 and 213301130100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213301130100031) 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, 422681565 + ... + 423185901.

It is an arithmetic number, because the mean of its divisors is an integer number (12862376365761).

Almost surely, 2213301130100021 is an apocalyptic number.

It is an amenable number.

213301130100021 is a deficient number, since it is larger than the sum of its proper divisors (95395902678243).

213301130100021 is a wasteful number, since it uses less digits than its factorization.

213301130100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595061 (or 595058 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213301130100021 its reverse (120001031103312), we get a palindrome (333302161203333).

The spelling of 213301130100021 in words is "two hundred thirteen trillion, three hundred one billion, one hundred thirty million, one hundred thousand, twenty-one".

Divisors: 1 3 9 521 1563 4689 90197 270591 504337 811773 1513011 4539033 46992637 140977911 262759577 422933733 788278731 2364836193 45489684389 136469053167 409407159501 23700125566669 71100376700007 213301130100021