| Base | Representation |
|---|---|
| bin | 10000001001110111000… |
| … | …111111001100110010000 |
| 3 | 10221010100210020010102100 |
| 4 | 100021313013321212100 |
| 5 | 121141441112401000 |
| 6 | 2205550054120400 |
| 7 | 143126213230242 |
| oct | 20116707714620 |
| 9 | 3833323203370 |
| 10 | 1110100122000 |
| 11 | 398877640161 |
| 12 | 15b18a350100 |
| 13 | 808b344c91c |
| 14 | 3ba2ca50092 |
| 15 | 1dd22539a00 |
| hex | 102771f9990 |
1110100122000 has 480 divisors, whose sum is σ = 4002685356384. Its totient is φ = 286530048000.
The previous prime is 1110100121989. The next prime is 1110100122011. The reversal of 1110100122000 is 2210010111.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1110100121989) and next prime (1110100122011).
It can be written as a sum of positive squares in 16 ways, for example, as 75957564816 + 1034142557184 = 275604^2 + 1016928^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131197770 + ... + 131206230.
Almost surely, 21110100122000 is an apocalyptic number.
1110100122000 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 1110100122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001342678192).
1110100122000 is an abundant number, since it is smaller than the sum of its proper divisors (2892585234384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1110100122000 is a wasteful number, since it uses less digits than its factorization.
1110100122000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8724 (or 8705 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 1110100122000 its reverse (2210010111), we get a palindrome (1112310132111).
It can be divided in two parts, 1110100 and 122000, that added together give a square (1232100 = 11102).
The spelling of 1110100122000 in words is "one trillion, one hundred ten billion, one hundred million, one hundred twenty-two thousand".
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