| Base | Representation |
|---|---|
| bin | 10110111111011000001100… |
| … | …100101000011010101010000 |
| 3 | 111021000020121012120012100200 |
| 4 | 112333120030211003111100 |
| 5 | 101223111023231401000 |
| 6 | 555014210315015200 |
| 7 | 30204060552523632 |
| oct | 2677301445032520 |
| 9 | 437006535505320 |
| 10 | 101112331122000 |
| 11 | 2a243553a1a690 |
| 12 | b4102b713a500 |
| 13 | 4455b0c85c3c3 |
| 14 | 1ad7c11c8ca52 |
| 15 | ba526caeb500 |
| hex | 5bf60c943550 |
101112331122000 has 960 divisors, whose sum is σ = 416493941610240. Its totient is φ = 22594318848000.
The previous prime is 101112331121947. The next prime is 101112331122007. The reversal of 101112331122000 is 221133211101.
101112331122000 is a `hidden beast` number, since 1 + 0 + 1 + 112 + 331 + 1 + 220 + 0 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101112331122007) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 138830794 + ... + 139557206.
It is an arithmetic number, because the mean of its divisors is an integer number (433847855844).
Almost surely, 2101112331122000 is an apocalyptic number.
101112331122000 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 101112331122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208246970805120).
101112331122000 is an abundant number, since it is smaller than the sum of its proper divisors (315381610488240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101112331122000 is a wasteful number, since it uses less digits than its factorization.
101112331122000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 726509 (or 726490 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
Adding to 101112331122000 its reverse (221133211101), we get a palindrome (101333464333101).
It can be divided in two parts, 1011123 and 31122000, that added together give a palindrome (32133123).
The spelling of 101112331122000 in words is "one hundred one trillion, one hundred twelve billion, three hundred thirty-one million, one hundred twenty-two thousand".
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