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13101012213 = 344367714561
BaseRepresentation
bin11000011001110000…
…11001010011110101
31020211000212101011120
430030320121103311
5203312324342323
610004000054153
7642440523612
oct141470312365
936730771146
1013101012213
1156131a8423
122657604359
13130a2ab143
148c3d41509
1551a2565e3
hex30ce194f5

13101012213 has 16 divisors (see below), whose sum is σ = 17534511936. Its totient is φ = 8700823040.

The previous prime is 13101012191. The next prime is 13101012263. The reversal of 13101012213 is 31221010131.

It is a happy number.

13101012213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13101012213 - 25 = 13101012181 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13101012192 and 13101012201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101012263) 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 15 ways as a sum of consecutive naturals, for example, 892453 + ... + 907013.

It is an arithmetic number, because the mean of its divisors is an integer number (1095906996).

Almost surely, 213101012213 is an apocalyptic number.

It is an amenable number.

13101012213 is a deficient number, since it is larger than the sum of its proper divisors (4433499723).

13101012213 is a wasteful number, since it uses less digits than its factorization.

13101012213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15684.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13101012213 its reverse (31221010131), we get a palindrome (44322022344).

The spelling of 13101012213 in words is "thirteen billion, one hundred one million, twelve thousand, two hundred thirteen".

Divisors: 1 3 443 677 1329 2031 14561 43683 299911 899733 6450523 9857797 19351569 29573391 4367004071 13101012213