| Base | Representation |
|---|---|
| bin | 111111001101101… |
| … | …0111000001011000 |
| 3 | 12110211020010010010 |
| 4 | 1332123113001120 |
| 5 | 13321000221100 |
| 6 | 550250321520 |
| 7 | 103364031045 |
| oct | 17633270130 |
| 9 | 5424203103 |
| 10 | 2121101400 |
| 11 | 999340970 |
| 12 | 4b24292a0 |
| 13 | 27a5986b2 |
| 14 | 1619c01cc |
| 15 | c6334750 |
| hex | 7e6d7058 |
2121101400 has 384 divisors, whose sum is σ = 7617369600. Its totient is φ = 483225600.
The previous prime is 2121101371. The next prime is 2121101401. The reversal of 2121101400 is 41011212.
It is a happy number.
It is a super-2 number, since 2×21211014002 = 8998142298163920000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2121101401) 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 95 ways as a sum of consecutive naturals, for example, 13510122 + ... + 13510278.
It is an arithmetic number, because the mean of its divisors is an integer number (19836900).
Almost surely, 22121101400 is an apocalyptic number.
2121101400 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 2121101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808684800).
2121101400 is an abundant number, since it is smaller than the sum of its proper divisors (5496268200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2121101400 is a wasteful number, since it uses less digits than its factorization.
2121101400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 299 (or 290 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
The square root of 2121101400 is about 46055.4166195465. The cubic root of 2121101400 is about 1284.8540866988.
Adding to 2121101400 its reverse (41011212), we get a palindrome (2162112612).
The spelling of 2121101400 in words is "two billion, one hundred twenty-one million, one hundred one thousand, four hundred".
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