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13032323000334 = 2331133923646757
BaseRepresentation
bin1011110110100101001011…
…1110111010100000001110
31201010212200222221002001000
42331221102332322200032
53202010144142002314
643414544434401130
72513361053515101
oct275512276724016
951125628832030
1013032323000334
114174a82644310
1215659027301a6
13736c343b9611
14330aa6ba8738
151790021c7209
hexbda52fba80e

13032323000334 has 64 divisors (see below), whose sum is σ = 31594490484480. Its totient is φ = 3949066265760.

The previous prime is 13032323000317. The next prime is 13032323000351. The reversal of 13032323000334 is 43300032323031.

It is a happy number.

13032323000334 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 2 + 323 + 0 + 0 + 0 + 334 = 666.

It is an interprime number because it is at equal distance from previous prime (13032323000317) and next prime (13032323000351).

It is a super-2 number, since 2×130323230003342 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13032323000298 and 13032323000307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19826884 + ... + 20473640.

It is an arithmetic number, because the mean of its divisors is an integer number (493663913820).

Almost surely, 213032323000334 is an apocalyptic number.

13032323000334 is an abundant number, since it is smaller than the sum of its proper divisors (18562167484146).

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

13032323000334 is a wasteful number, since it uses less digits than its factorization.

13032323000334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680702 (or 680696 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 13032323000334 its reverse (43300032323031), we get a palindrome (56332355323365).

The spelling of 13032323000334 in words is "thirteen trillion, thirty-two billion, three hundred twenty-three million, three hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 33923 67846 101769 203538 305307 373153 610614 646757 746306 915921 1119459 1293514 1831842 1940271 2238918 3358377 3880542 5820813 6716754 7114327 10075131 11641626 14228654 17462439 20150262 21342981 34924878 42685962 64028943 128057886 192086829 384173658 21939937711 43879875422 65819813133 131639626266 197459439399 241339314821 394918878798 482678629642 592378318197 724017944463 1184756636394 1448035888926 2172053833389 4344107666778 6516161500167 13032323000334