| Base | Representation |
|---|---|
| bin | 101101101110100100001010… |
| … | …101101111001101010000000 |
| 3 | 222101002010021200220212021202 |
| 4 | 231232210022231321222000 |
| 5 | 202330004411000040000 |
| 6 | 1551421331011040332 |
| 7 | 60234602264513141 |
| oct | 5556441255715200 |
| 9 | 871063250825252 |
| 10 | 201112023440000 |
| 11 | 59098148285812 |
| 12 | 1a680a358a00a8 |
| 13 | 882aa23017a9a |
| 14 | 3793c33c8bac8 |
| 15 | 183b5ba390dd5 |
| hex | b6e90ab79a80 |
201112023440000 has 640 divisors, whose sum is σ = 528540720642000. Its totient is φ = 76082872320000.
The previous prime is 201112023439963. The next prime is 201112023440021. The reversal of 201112023440000 is 44320211102.
It can be written as a sum of positive squares in 40 ways, for example, as 123405259699264 + 77706763740736 = 11108792^2 + 8815144^2 .
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×2011120234400002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124066639190 + ... + 124066640810.
Almost surely, 2201112023440000 is an apocalyptic number.
201112023440000 is a gapful number since it is divisible by the number (20) 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 201112023440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264270360321000).
201112023440000 is an abundant number, since it is smaller than the sum of its proper divisors (327428697202000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201112023440000 is a wasteful number, since it uses less digits than its factorization.
201112023440000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2746 (or 2719 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
Adding to 201112023440000 its reverse (44320211102), we get a palindrome (201156343651102).
The spelling of 201112023440000 in words is "two hundred one trillion, one hundred twelve billion, twenty-three million, four hundred forty thousand".
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