| Base | Representation |
|---|---|
| bin | 100100101100111010110… |
| … | …010100000111001000000 |
| 3 | 22221010001201112220122021 |
| 4 | 210230322302200321000 |
| 5 | 312310311310420300 |
| 6 | 5210352420251224 |
| 7 | 350134533216064 |
| oct | 44547262407100 |
| 9 | 8833051486567 |
| 10 | 2522132123200 |
| 11 | 8926a2916a98 |
| 12 | 348980b40b14 |
| 13 | 153ab3a14121 |
| 14 | 8a101207aa4 |
| 15 | 45916b3bd1a |
| hex | 24b3aca0e40 |
2522132123200 has 336 divisors, whose sum is σ = 6652650631680. Its totient is φ = 938887290880.
The previous prime is 2522132123191. The next prime is 2522132123209. The reversal of 2522132123200 is 23212312252.
It is an interprime number because it is at equal distance from previous prime (2522132123191) and next prime (2522132123209).
It is a super-2 number, since 2×25221321232002 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (2522132123209) 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 47 ways as a sum of consecutive naturals, for example, 299216586 + ... + 299225014.
Almost surely, 22522132123200 is an apocalyptic number.
2522132123200 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 2522132123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326325315840).
2522132123200 is an abundant number, since it is smaller than the sum of its proper divisors (4130518508480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2522132123200 is a wasteful number, since it uses less digits than its factorization.
2522132123200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8694 (or 8679 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 25.
Adding to 2522132123200 its reverse (23212312252), we get a palindrome (2545344435452).
The spelling of 2522132123200 in words is "two trillion, five hundred twenty-two billion, one hundred thirty-two million, one hundred twenty-three thousand, two hundred".
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