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13021223013 = 3319231103587
BaseRepresentation
bin11000010000010000…
…00001100001100101
31020121110201122222000
430020020001201211
5203131413114023
65552025555513
7640451366211
oct141010014145
936543648860
1013021223013
115582160637
122634945b99
1312c68c29b6
148b74d1941
15513245243
hex308201865

13021223013 has 32 divisors (see below), whose sum is σ = 21188889600. Its totient is φ = 7866361008.

The previous prime is 13021222993. The next prime is 13021223027. The reversal of 13021223013 is 31032212031.

It is a de Polignac number, because none of the positive numbers 2k-13021223013 is a prime.

It is a super-3 number, since 3×130212230133 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021223093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539995 + ... + 563592.

It is an arithmetic number, because the mean of its divisors is an integer number (662152800).

Almost surely, 213021223013 is an apocalyptic number.

It is an amenable number.

13021223013 is a deficient number, since it is larger than the sum of its proper divisors (8167666587).

13021223013 is a wasteful number, since it uses less digits than its factorization.

13021223013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103638 (or 1103632 counting only the distinct ones).

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

Adding to 13021223013 its reverse (31032212031), we get a palindrome (44053435044).

The spelling of 13021223013 in words is "thirteen billion, twenty-one million, two hundred twenty-three thousand, thirteen".

Divisors: 1 3 9 19 23 27 57 69 171 207 437 513 621 1311 3933 11799 1103587 3310761 9932283 20968153 25382501 29796849 62904459 76147503 188713377 228442509 482267519 566140131 685327527 1446802557 4340407671 13021223013