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21313400301 = 327972971337
BaseRepresentation
bin10011110110011000…
…001010110111101101
32001000100220220202100
4103312120022313231
5322122212302201
613442524045313
71353110625204
oct236630126755
961010826670
1021313400301
11904794a116
124169993839
13201882508b
1410628d423b
1584b206886
hex4f660aded

21313400301 has 12 divisors (see below), whose sum is σ = 30824660412. Its totient is φ = 14191100736.

The previous prime is 21313400281. The next prime is 21313400321. The reversal of 21313400301 is 10300431312.

21313400301 is a `hidden beast` number, since 21 + 3 + 1 + 340 + 0 + 301 = 666.

It is an interprime number because it is at equal distance from previous prime (21313400281) and next prime (21313400321).

It can be written as a sum of positive squares in 2 ways, for example, as 6344122500 + 14969277801 = 79650^2 + 122349^2 .

It is not a de Polignac number, because 21313400301 - 213 = 21313392109 is a prime.

It is a super-2 number, since 2×213134003012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21313400321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1478496 + ... + 1492841.

It is an arithmetic number, because the mean of its divisors is an integer number (2568721701).

Almost surely, 221313400301 is an apocalyptic number.

It is an amenable number.

21313400301 is a deficient number, since it is larger than the sum of its proper divisors (9511260111).

21313400301 is a wasteful number, since it uses less digits than its factorization.

21313400301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972140 (or 2972137 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21313400301 its reverse (10300431312), we get a palindrome (31613831613).

The spelling of 21313400301 in words is "twenty-one billion, three hundred thirteen million, four hundred thousand, three hundred one".

Divisors: 1 3 9 797 2391 7173 2971337 8914011 26742033 2368155589 7104466767 21313400301