Base | Representation |
---|---|
bin | 10110110100000010101100… |
… | …000110001010011100000100 |
3 | 111011020202211210222011221120 |
4 | 112310002230012022130010 |
5 | 101122330121233100312 |
6 | 553220254210313540 |
7 | 30063562166541240 |
oct | 2664025406123404 |
9 | 434222753864846 |
10 | 100333323331332 |
11 | 29a7313a377523 |
12 | b30532ab888b0 |
13 | 43ca5129ca790 |
14 | 1aac2318cd420 |
15 | b8ed7771828c |
hex | 5b40ac18a704 |
100333323331332 has 192 divisors, whose sum is σ = 292209196608000. Its totient is φ = 26089237278720.
The previous prime is 100333323331331. The next prime is 100333323331361. The reversal of 100333323331332 is 233133323333001.
It is a happy number.
It is a super-2 number, since 2×1003333233313322 (a number of 29 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 100333323331293 and 100333323331302.
It is not an unprimeable number, because it can be changed into a prime (100333323331331) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32439582 + ... + 35397642.
It is an arithmetic number, because the mean of its divisors is an integer number (1521922899000).
Almost surely, 2100333323331332 is an apocalyptic number.
100333323331332 is a gapful number since it is divisible by the number (12) 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 100333323331332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146104598304000).
100333323331332 is an abundant number, since it is smaller than the sum of its proper divisors (191875873276668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100333323331332 is a wasteful number, since it uses less digits than its factorization.
100333323331332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2958526 (or 2958524 counting only the distinct ones).
The product of its (nonzero) digits is 78732, while the sum is 33.
Adding to 100333323331332 its reverse (233133323333001), we get a palindrome (333466646664333).
The spelling of 100333323331332 in words is "one hundred trillion, three hundred thirty-three billion, three hundred twenty-three million, three hundred thirty-one thousand, three hundred thirty-two".
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