| Base | Representation |
|---|---|
| bin | 11110100101110101100… |
| … | …011011011110110010000 |
| 3 | 21102222011201022101001200 |
| 4 | 132211311203123312100 |
| 5 | 233420312033343440 |
| 6 | 4245424214231200 |
| 7 | 304610516430360 |
| oct | 36456543336620 |
| 9 | 7388151271050 |
| 10 | 2102211231120 |
| 11 | 7405a7487620 |
| 12 | 29b50a355500 |
| 13 | 1233122084a0 |
| 14 | 73a674729a0 |
| 15 | 39a3b401c30 |
| hex | 1e9758dbd90 |
2102211231120 has 1920 divisors, whose sum is σ = 10053244551168. Its totient is φ = 379518566400.
The previous prime is 2102211231097. The next prime is 2102211231143. The reversal of 2102211231120 is 211321122012.
2102211231120 is a `hidden beast` number, since 2 + 102 + 211 + 231 + 120 = 666.
It is an interprime number because it is at equal distance from previous prime (2102211231097) and next prime (2102211231143).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2102211231093 and 2102211231102.
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 383 ways as a sum of consecutive naturals, for example, 826664569 + ... + 826667111.
Almost surely, 22102211231120 is an apocalyptic number.
2102211231120 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 2102211231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026622275584).
2102211231120 is an abundant number, since it is smaller than the sum of its proper divisors (7951033320048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2102211231120 is a wasteful number, since it uses less digits than its factorization.
2102211231120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2661 (or 2652 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
Adding to 2102211231120 its reverse (211321122012), we get a palindrome (2313532353132).
The spelling of 2102211231120 in words is "two trillion, one hundred two billion, two hundred eleven million, two hundred thirty-one thousand, one hundred twenty".
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