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13131010221 = 371793493219
BaseRepresentation
bin11000011101010101…
…10101000010101101
31020220010022102200220
430032222311002231
5203343014311341
610010551041553
7643253513430
oct141652650255
936803272626
1013131010221
11562912736a
1226656702b9
131313582244
148c7d0d817
1551cbcea66
hex30eab50ad

13131010221 has 16 divisors (see below), whose sum is σ = 20120947200. Its totient is φ = 7461513648.

The previous prime is 13131010159. The next prime is 13131010229. The reversal of 13131010221 is 12201013131.

It is a happy number.

13131010221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13131010221 - 211 = 13131008173 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13131010221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131010229) 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, 1742851 + ... + 1750368.

It is an arithmetic number, because the mean of its divisors is an integer number (1257559200).

Almost surely, 213131010221 is an apocalyptic number.

It is an amenable number.

13131010221 is a deficient number, since it is larger than the sum of its proper divisors (6989936979).

13131010221 is a wasteful number, since it uses less digits than its factorization.

13131010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493408.

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

Adding to 13131010221 its reverse (12201013131), we get a palindrome (25332023352).

The spelling of 13131010221 in words is "thirteen billion, one hundred thirty-one million, ten thousand, two hundred twenty-one".

Divisors: 1 3 7 21 179 537 1253 3759 3493219 10479657 24452533 73357599 625286201 1875858603 4377003407 13131010221