| Base | Representation |
|---|---|
| bin | 101110101010011111… |
| … | …1001111100111101000 |
| 3 | 100120122211000012002200 |
| 4 | 1131110333033213220 |
| 5 | 3120212242104000 |
| 6 | 114011430300200 |
| 7 | 10145204622564 |
| oct | 1352477174750 |
| 9 | 316584005080 |
| 10 | 100210113000 |
| 11 | 39553aa6108 |
| 12 | 175081b7660 |
| 13 | 95b01c7b6a |
| 14 | 4bc8d166a4 |
| 15 | 29178e0500 |
| hex | 1754fcf9e8 |
100210113000 has 192 divisors, whose sum is σ = 339088576320. Its totient is φ = 26692848000.
The previous prime is 100210112999. The next prime is 100210113001. The reversal of 100210113000 is 311012001.
It is an interprime number because it is at equal distance from previous prime (100210112999) and next prime (100210113001).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (100210113001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8733267 + ... + 8744733.
It is an arithmetic number, because the mean of its divisors is an integer number (1766086335).
Almost surely, 2100210113000 is an apocalyptic number.
100210113000 is a gapful number since it is divisible by the number (10) 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 100210113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169544288160).
100210113000 is an abundant number, since it is smaller than the sum of its proper divisors (238878463320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100210113000 is a wasteful number, since it uses less digits than its factorization.
100210113000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12465 (or 12448 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
Adding to 100210113000 its reverse (311012001), we get a palindrome (100521125001).
It can be divided in two parts, 1002101 and 13000, that added together give a palindrome (1015101).
The spelling of 100210113000 in words is "one hundred billion, two hundred ten million, one hundred thirteen thousand".
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