Base | Representation |
---|---|
bin | 10000010110110100011… |
… | …001110010001100010000 |
3 | 10222110021101222202212111 |
4 | 100112310121302030100 |
5 | 121403434324403240 |
6 | 2220210422035104 |
7 | 144131043620344 |
oct | 20266431621420 |
9 | 3873241882774 |
10 | 1124013122320 |
11 | 3a3767117230 |
12 | 161a11878a94 |
13 | 81cbca1a3aa |
14 | 3c58c75b624 |
15 | 1e388bd51ea |
hex | 105b4672310 |
1124013122320 has 160 divisors (see below), whose sum is σ = 3023213466240. Its totient is φ = 384101867520.
The previous prime is 1124013122293. The next prime is 1124013122321. The reversal of 1124013122320 is 232213104211.
It is a super-3 number, since 3×11240131223203 (a number of 37 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 1124013122291 and 1124013122300.
It is not an unprimeable number, because it can be changed into a prime (1124013122321) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9801634 + ... + 9915646.
It is an arithmetic number, because the mean of its divisors is an integer number (18895084164).
Almost surely, 21124013122320 is an apocalyptic number.
1124013122320 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 1124013122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511606733120).
1124013122320 is an abundant number, since it is smaller than the sum of its proper divisors (1899200343920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1124013122320 is a wasteful number, since it uses less digits than its factorization.
1124013122320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 114713 (or 114707 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 22.
Adding to 1124013122320 its reverse (232213104211), we get a palindrome (1356226226531).
The spelling of 1124013122320 in words is "one trillion, one hundred twenty-four billion, thirteen million, one hundred twenty-two thousand, three hundred twenty".
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