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21302123013 = 341373136133
BaseRepresentation
bin10011110101101101…
…001001101000000101
32000222120200222020000
4103311231021220011
5322111320414023
613441442231513
71352613025623
oct236555115005
960876628200
1021302123013
119041547346
124166055599
1320163a7022
1410611da513
1584a22a243
hex4f5b49a05

21302123013 has 40 divisors (see below), whose sum is σ = 32161617048. Its totient is φ = 14050423296.

The previous prime is 21302122993. The next prime is 21302123021. The reversal of 21302123013 is 31032120312.

It can be written as a sum of positive squares in 4 ways, for example, as 3035789604 + 18266333409 = 55098^2 + 135153^2 .

It is not a de Polignac number, because 21302123013 - 226 = 21235014149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21302123053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3470295 + ... + 3476427.

Almost surely, 221302123013 is an apocalyptic number.

It is an amenable number.

21302123013 is a deficient number, since it is larger than the sum of its proper divisors (10859494035).

21302123013 is a wasteful number, since it uses less digits than its factorization.

21302123013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595 (or 6586 counting only the distinct ones).

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

Adding to 21302123013 its reverse (31032120312), we get a palindrome (52334243325).

The spelling of 21302123013 in words is "twenty-one billion, three hundred two million, one hundred twenty-three thousand, thirteen".

Divisors: 1 3 9 27 81 137 313 411 939 1233 2817 3699 6133 8451 11097 18399 25353 42881 55197 128643 165591 385929 496773 840221 1157787 1919629 2520663 3473361 5758887 7561989 17276661 22685967 51829983 68057901 155489949 262989173 788967519 2366902557 7100707671 21302123013