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13106845032 = 2336110938191
BaseRepresentation
bin11000011010011101…
…01001010101101000
31020211102211201021220
430031032221111220
5203320323020112
610004325102040
7642541226121
oct141516512550
936742751256
1013106845032
115616521736
122659557920
13130b571008
148c4a1d048
1551aa0998c
hex30d3a9568

13106845032 has 64 divisors (see below), whose sum is σ = 33338818560. Its totient is φ = 4292870400.

The previous prime is 13106845019. The next prime is 13106845033. The reversal of 13106845032 is 23054860131.

It is a junction number, because it is equal to n+sod(n) for n = 13106844984 and 13106845002.

It is not an unprimeable number, because it can be changed into a prime (13106845033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1596057 + ... + 1604247.

It is an arithmetic number, because the mean of its divisors is an integer number (520919040).

Almost surely, 213106845032 is an apocalyptic number.

13106845032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13106845032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16669409280).

13106845032 is an abundant number, since it is smaller than the sum of its proper divisors (20231973528).

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

13106845032 is a wasteful number, since it uses less digits than its factorization.

13106845032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9354 (or 9350 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 13106845032 in words is "thirteen billion, one hundred six million, eight hundred forty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1093 1464 2186 3279 4372 6558 8191 8744 13116 16382 24573 26232 32764 49146 65528 66673 98292 133346 196584 200019 266692 400038 499651 533384 800076 999302 1498953 1600152 1998604 2997906 3997208 5995812 8952763 11991624 17905526 26858289 35811052 53716578 71622104 107433156 214866312 546118543 1092237086 1638355629 2184474172 3276711258 4368948344 6553422516 13106845032