| Base | Representation |
|---|---|
| bin | 10110110011101111111000… |
| … | …100110011011010110000000 |
| 3 | 111011011211201122110100102102 |
| 4 | 112303233320212123112000 |
| 5 | 101122012243244133440 |
| 6 | 553203114444405532 |
| 7 | 30062245632331514 |
| oct | 2663577046332600 |
| 9 | 434154648410372 |
| 10 | 100313132021120 |
| 11 | 29a65618960297 |
| 12 | b301434b468a8 |
| 13 | 43c86457bbc45 |
| 14 | 1aab278048144 |
| 15 | b8e594cacb15 |
| hex | 5b3bf899b580 |
100313132021120 has 256 divisors, whose sum is σ = 246268173312000. Its totient is φ = 39059583713280.
The previous prime is 100313132021119. The next prime is 100313132021147. The reversal of 100313132021120 is 21120231313001.
It is a happy number.
It is a super-2 number, since 2×1003131320211202 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 100313132021092 and 100313132021101.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17564895065 + ... + 17564900775.
It is an arithmetic number, because the mean of its divisors is an integer number (961985052000).
Almost surely, 2100313132021120 is an apocalyptic number.
100313132021120 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 100313132021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123134086656000).
100313132021120 is an abundant number, since it is smaller than the sum of its proper divisors (145955041290880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100313132021120 is an equidigital number, since it uses as much as digits as its factorization.
100313132021120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10641 (or 10629 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 20.
Adding to 100313132021120 its reverse (21120231313001), we get a palindrome (121433363334121).
The spelling of 100313132021120 in words is "one hundred trillion, three hundred thirteen billion, one hundred thirty-two million, twenty-one thousand, one hundred twenty".
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