| Base | Representation |
|---|---|
| bin | 11000011001101001… |
| … | …11010101001110010 |
| 3 | 1020210222011001010200 |
| 4 | 30030310322221302 |
| 5 | 203312111201320 |
| 6 | 10003524340030 |
| 7 | 642430004661 |
| oct | 141464725162 |
| 9 | 36728131120 |
| 10 | 13100100210 |
| 11 | 56127351aa |
| 12 | 2657244616 |
| 13 | 130a04bcb2 |
| 14 | 8c3b84dd8 |
| 15 | 51a126290 |
| hex | 30cd3aa72 |
13100100210 has 96 divisors (see below), whose sum is σ = 36096907392. Its totient is φ = 3284851200.
The previous prime is 13100100149. The next prime is 13100100257. The reversal of 13100100210 is 1200100131.
13100100210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×131001002102 (a number of 21 digits) contains 22 as substring.
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 = 13100100192 and 13100100201.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1996435 + ... + 2002985.
It is an arithmetic number, because the mean of its divisors is an integer number (376009452).
Almost surely, 213100100210 is an apocalyptic number.
13100100210 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 13100100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18048453696).
13100100210 is an abundant number, since it is smaller than the sum of its proper divisors (22996807182).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13100100210 is a wasteful number, since it uses less digits than its factorization.
13100100210 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7888 (or 7885 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
Adding to 13100100210 its reverse (1200100131), we get a palindrome (14300200341).
The spelling of 13100100210 in words is "thirteen billion, one hundred million, one hundred thousand, two hundred ten".
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