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13011200010 = 2325149970261
BaseRepresentation
bin11000001111000011…
…10010100000001010
31020120202212102222200
430013201302200022
5203121331400020
65551031101030
7640300242504
oct140741624012
936522772880
1013011200010
115577535166
122631511776
1312c47c3823
148b6042d74
15512415590
hex30787280a

13011200010 has 48 divisors (see below), whose sum is σ = 34056196200. Its totient is φ = 3446363520.

The previous prime is 13011199939. The next prime is 13011200017. The reversal of 13011200010 is 1000211031.

It can be written as a sum of positive squares in 4 ways, for example, as 11910884769 + 1100315241 = 109137^2 + 33171^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 13011199965 and 13011200001.

It is not an unprimeable number, because it can be changed into a prime (13011200017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471721 + ... + 498540.

Almost surely, 213011200010 is an apocalyptic number.

13011200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13011200010 is an abundant number, since it is smaller than the sum of its proper divisors (21044996190).

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

13011200010 is a wasteful number, since it uses less digits than its factorization.

13011200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970423 (or 970420 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 13011200010 its reverse (1000211031), we get a palindrome (14011411041).

The spelling of 13011200010 in words is "thirteen billion, eleven million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1490 2235 2682 4470 6705 13410 970261 1940522 2910783 4851305 5821566 8732349 9702610 14553915 17464698 29107830 43661745 87323490 144568889 289137778 433706667 722844445 867413334 1301120001 1445688890 2168533335 2602240002 4337066670 6505600005 13011200010