| Base | Representation |
|---|---|
| bin | 101111000101000001… |
| … | …0101111101111010000 |
| 3 | 100122221211220111002000 |
| 4 | 1132022002233233100 |
| 5 | 3124023124122230 |
| 6 | 114240024354000 |
| 7 | 10206233502006 |
| oct | 1361202575720 |
| 9 | 318854814060 |
| 10 | 101100223440 |
| 11 | 39970493277 |
| 12 | 17716315900 |
| 13 | 96c273b028 |
| 14 | 4c7121aa76 |
| 15 | 296ab16b60 |
| hex | 178a0afbd0 |
101100223440 has 160 divisors (see below), whose sum is σ = 348930167040. Its totient is φ = 26906171904.
The previous prime is 101100223417. The next prime is 101100223519. The reversal of 101100223440 is 44322001101.
101100223440 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 0 + 223 + 440 = 666.
101100223440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
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 31 ways as a sum of consecutive naturals, for example, 1039954 + ... + 1133006.
It is an arithmetic number, because the mean of its divisors is an integer number (2180813544).
Almost surely, 2101100223440 is an apocalyptic number.
101100223440 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 101100223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174465083520).
101100223440 is an abundant number, since it is smaller than the sum of its proper divisors (247829943600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101100223440 is a wasteful number, since it uses less digits than its factorization.
101100223440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 93578 (or 93566 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 101100223440 its reverse (44322001101), we get a palindrome (145422224541).
The spelling of 101100223440 in words is "one hundred one billion, one hundred million, two hundred twenty-three thousand, four hundred forty".
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