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13012324020 = 2232572290689
BaseRepresentation
bin11000001111001100…
…00100111010110100
31020120211222112211200
430013212010322310
5203122123332040
65551111132500
7640312633503
oct140746047264
936524875750
1013012324020
1155781326a3
122631974130
1312c4ac8317
148b625683a
15512588630
hex307984eb4

13012324020 has 36 divisors (see below), whose sum is σ = 39470716740. Its totient is φ = 3469953024.

The previous prime is 13012324019. The next prime is 13012324051. The reversal of 13012324020 is 2042321031.

13012324020 is a `hidden beast` number, since 1 + 30 + 1 + 232 + 402 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8495677584 + 4516646436 = 92172^2 + 67206^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13012323984 and 13012324002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36145165 + ... + 36145524.

Almost surely, 213012324020 is an apocalyptic number.

13012324020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13012324020 is an abundant number, since it is smaller than the sum of its proper divisors (26458392720).

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

13012324020 is a wasteful number, since it uses less digits than its factorization.

13012324020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72290704 (or 72290699 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13012324020 its reverse (2042321031), we get a palindrome (15054645051).

The spelling of 13012324020 in words is "thirteen billion, twelve million, three hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 72290689 144581378 216872067 289162756 361453445 433744134 650616201 722906890 867488268 1084360335 1301232402 1445813780 2168720670 2602464804 3253081005 4337441340 6506162010 13012324020