| Base | Representation |
|---|---|
| bin | 11000001111000010… |
| … | …11111100010000110 |
| 3 | 1020120202201111101220 |
| 4 | 30013201133202012 |
| 5 | 203121321403220 |
| 6 | 5551025301210 |
| 7 | 640266500124 |
| oct | 140741374206 |
| 9 | 36522644356 |
| 10 | 13011122310 |
| 11 | 557749184a |
| 12 | 2631494806 |
| 13 | 12c4797354 |
| 14 | 8b6022914 |
| 15 | 5123ec540 |
| hex | 30785f886 |
13011122310 has 128 divisors (see below), whose sum is σ = 33792629760. Its totient is φ = 3196300800.
The previous prime is 13011122303. The next prime is 13011122317. The reversal of 13011122310 is 1322111031.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (13011122303) and next prime (13011122317).
It is a super-2 number, since 2×130111223102 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 13011122310.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13011122317) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13826440 + ... + 13827380.
It is an arithmetic number, because the mean of its divisors is an integer number (264004920).
Almost surely, 213011122310 is an apocalyptic number.
13011122310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 13011122310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16896314880).
13011122310 is an abundant number, since it is smaller than the sum of its proper divisors (20781507450).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13011122310 is a wasteful number, since it uses less digits than its factorization.
13011122310 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1694.
The product of its (nonzero) digits is 36, while the sum is 15.
Adding to 13011122310 its reverse (1322111031), we get a palindrome (14333233341).
The spelling of 13011122310 in words is "thirteen billion, eleven million, one hundred twenty-two thousand, three hundred ten".
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