| Base | Representation |
|---|---|
| bin | 101111000101000010… |
| … | …1110100111100100000 |
| 3 | 100122221220102112010001 |
| 4 | 1132022011310330200 |
| 5 | 3124023330444300 |
| 6 | 114240053545344 |
| 7 | 10206243405001 |
| oct | 1361205647440 |
| 9 | 318856375101 |
| 10 | 101101031200 |
| 11 | 39970995144 |
| 12 | 17716645254 |
| 13 | 96c29618b0 |
| 14 | 4c7138b1a8 |
| 15 | 296ac2616a |
| hex | 178a174f20 |
101101031200 has 144 divisors (see below), whose sum is σ = 270305199360. Its totient is φ = 36696683520.
The previous prime is 101101031191. The next prime is 101101031201. The reversal of 101101031200 is 2130101101.
101101031200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×1011010312003 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (101101031201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531217 + ... + 695983.
It is an arithmetic number, because the mean of its divisors is an integer number (1877119440).
Almost surely, 2101101031200 is an apocalyptic number.
101101031200 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 101101031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135152599680).
101101031200 is an abundant number, since it is smaller than the sum of its proper divisors (169204168160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101101031200 is a wasteful number, since it uses less digits than its factorization.
101101031200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 164859 (or 164846 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 10.
Adding to 101101031200 its reverse (2130101101), we get a palindrome (103231132301).
The spelling of 101101031200 in words is "one hundred one billion, one hundred one million, thirty-one thousand, two hundred".
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