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13000332020 = 2251373684949
BaseRepresentation
bin11000001101110000…
…10101001011110100
31020120000102021220112
430012320111023310
5203111041111040
65550002122152
7640105666424
oct140670251364
936500367815
1013000332020
115571391955
122629950358
1312c2489b70
148b4814484
155114ba365
hex306e152f4

13000332020 has 48 divisors (see below), whose sum is σ = 29803544400. Its totient is φ = 4734360576.

The previous prime is 13000331923. The next prime is 13000332041. The reversal of 13000332020 is 2023300031.

It can be written as a sum of positive squares in 8 ways, for example, as 2206368784 + 10793963236 = 46972^2 + 103894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13000331986 and 13000332004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323495 + ... + 361454.

It is an arithmetic number, because the mean of its divisors is an integer number (620907175).

Almost surely, 213000332020 is an apocalyptic number.

13000332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000332020 is an abundant number, since it is smaller than the sum of its proper divisors (16803212380).

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

13000332020 is a wasteful number, since it uses less digits than its factorization.

13000332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685044 (or 685042 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 13000332020 its reverse (2023300031), we get a palindrome (15023632051).

The spelling of 13000332020 in words is "thirteen billion, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1460 1898 3796 4745 9490 18980 684949 1369898 2739796 3424745 6849490 8904337 13698980 17808674 35617348 44521685 50001277 89043370 100002554 178086740 200005108 250006385 500012770 650016601 1000025540 1300033202 2600066404 3250083005 6500166010 13000332020