| Base | Representation |
|---|---|
| bin | 1001000111010110110111… |
| … | …1000000000111110111000 |
| 3 | 1022111002112120001211222110 |
| 4 | 2101311231320000332320 |
| 5 | 2303200030014232300 |
| 6 | 33152013314252320 |
| 7 | 2053031361206664 |
| oct | 221655570007670 |
| 9 | 38432476054873 |
| 10 | 10022002102200 |
| 11 | 3214341a06060 |
| 12 | 115a3b82870a0 |
| 13 | 5790bc5652ca |
| 14 | 2690d32998a4 |
| 15 | 125a66839550 |
| hex | 91d6de00fb8 |
10022002102200 has 192 divisors, whose sum is σ = 33904615680000. Its totient is φ = 2428714137600.
The previous prime is 10022002102163. The next prime is 10022002102201. The reversal of 10022002102200 is 220120022001.
10022002102200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×100220021022002 (a number of 27 digits) 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 (10022002102201) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18429801 + ... + 18965799.
It is an arithmetic number, because the mean of its divisors is an integer number (176586540000).
Almost surely, 210022002102200 is an apocalyptic number.
10022002102200 is a gapful number since it is divisible by the number (10) 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 10022002102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16952307840000).
10022002102200 is an abundant number, since it is smaller than the sum of its proper divisors (23882613577800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10022002102200 is a wasteful number, since it uses less digits than its factorization.
10022002102200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 538862 (or 538853 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 10022002102200 its reverse (220120022001), we get a palindrome (10242122124201).
The spelling of 10022002102200 in words is "ten trillion, twenty-two billion, two million, one hundred two thousand, two hundred".
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