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13023213324 = 223111731118661
BaseRepresentation
bin11000010000011111…
…00111011100001100
31020121121110210011020
430020033213130030
5203132420311244
65552140354140
7640504325652
oct141017473414
936547423136
1013023213324
11558329aa20
122635545950
1312c713b8b4
148b788cdd2
155134d9d19
hex3083e770c

13023213324 has 96 divisors (see below), whose sum is σ = 35214746112. Its totient is φ = 3702144000.

The previous prime is 13023213323. The next prime is 13023213331. The reversal of 13023213324 is 42331232031.

It is a super-2 number, since 2×130232133242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13023213294 and 13023213303.

It is not an unprimeable number, because it can be changed into a prime (13023213323) 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, 688554 + ... + 707214.

It is an arithmetic number, because the mean of its divisors is an integer number (366820272).

Almost surely, 213023213324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023213324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17607373056).

13023213324 is an abundant number, since it is smaller than the sum of its proper divisors (22191532788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13023213324 is a wasteful number, since it uses less digits than its factorization.

13023213324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19007 (or 19005 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13023213324 its reverse (42331232031), we get a palindrome (55354445355).

The spelling of 13023213324 in words is "thirteen billion, twenty-three million, two hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 311 374 561 622 748 933 1122 1244 1866 2244 3421 3732 5287 6842 10263 10574 13684 15861 18661 20526 21148 31722 37322 41052 55983 58157 63444 74644 111966 116314 174471 205271 223932 232628 317237 348942 410542 615813 634474 697884 821084 951711 1231626 1268948 1903422 2463252 3489607 3806844 5803571 6979214 10468821 11607142 13958428 17410713 20937642 23214284 34821426 41875284 63839281 69642852 98660707 127678562 191517843 197321414 255357124 295982121 383035686 394642828 591964242 766071372 1085267777 1183928484 2170535554 3255803331 4341071108 6511606662 13023213324