| Base | Representation |
|---|---|
| bin | 10001101010000110001… |
| … | …000011010111111110000 |
| 3 | 11022000002002202022120010 |
| 4 | 101222012020122333300 |
| 5 | 124340101332212034 |
| 6 | 2325235332214520 |
| 7 | 153444645304500 |
| oct | 21520610327760 |
| 9 | 4260062668503 |
| 10 | 1213431132144 |
| 11 | 428682270500 |
| 12 | 17720776a440 |
| 13 | 8a5700ab38a |
| 14 | 42a3223da00 |
| 15 | 2186de003e9 |
| hex | 11a8621aff0 |
1213431132144 has 360 divisors, whose sum is σ = 4012258199040. Its totient is φ = 314851595520.
The previous prime is 1213431132131. The next prime is 1213431132149. The reversal of 1213431132144 is 4412311343121.
It is a super-2 number, since 2×12134311321442 (a number of 25 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1213431132149) by changing a digit.
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 71 ways as a sum of consecutive naturals, for example, 409526407 + ... + 409529369.
It is an arithmetic number, because the mean of its divisors is an integer number (11145161664).
Almost surely, 21213431132144 is an apocalyptic number.
1213431132144 is a gapful number since it is divisible by the number (14) 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 1213431132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006129099520).
1213431132144 is an abundant number, since it is smaller than the sum of its proper divisors (2798827066896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1213431132144 is a wasteful number, since it uses less digits than its factorization.
1213431132144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4449 (or 4425 counting only the distinct ones).
The product of its digits is 6912, while the sum is 30.
Adding to 1213431132144 its reverse (4412311343121), we get a palindrome (5625742475265).
The spelling of 1213431132144 in words is "one trillion, two hundred thirteen billion, four hundred thirty-one million, one hundred thirty-two thousand, one hundred forty-four".
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