Base | Representation |
---|---|
bin | 11110111000011000010… |
… | …110001110010101101110 |
3 | 21111212120100112122201120 |
4 | 132320120112032111232 |
5 | 234232101303321220 |
6 | 4302520050121410 |
7 | 306214112061003 |
oct | 36703026162556 |
9 | 7455510478646 |
10 | 2122122323310 |
11 | 748a94800910 |
12 | 2a3346580266 |
13 | 125166354342 |
14 | 749d5a138aa |
15 | 3a304459a40 |
hex | 1ee1858e56e |
2122122323310 has 192 divisors, whose sum is σ = 5881734190080. Its totient is φ = 485854237440.
The previous prime is 2122122323309. The next prime is 2122122323323. The reversal of 2122122323310 is 133232212212.
It is a super-2 number, since 2×21221223233102 (a number of 25 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13714092 + ... + 13867968.
It is an arithmetic number, because the mean of its divisors is an integer number (30634032240).
Almost surely, 22122122323310 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2122122323310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940867095040).
2122122323310 is an abundant number, since it is smaller than the sum of its proper divisors (3759611866770).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122122323310 is a wasteful number, since it uses less digits than its factorization.
2122122323310 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 154023 (or 154000 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
Adding to 2122122323310 its reverse (133232212212), we get a palindrome (2255354535522).
The spelling of 2122122323310 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-two million, three hundred twenty-three thousand, three hundred ten".
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