| Base | Representation |
|---|---|
| bin | 101101111110011011011111… |
| … | …100000100000010010100000 |
| 3 | 222111221100021101110111102000 |
| 4 | 231332123133200200102200 |
| 5 | 203000340121332413440 |
| 6 | 1554014230111124000 |
| 7 | 60406425341213256 |
| oct | 5576333740402240 |
| 9 | 874840241414360 |
| 10 | 202202220201120 |
| 11 | 594785309a2297 |
| 12 | 1a81818a513600 |
| 13 | 88a9783ac7899 |
| 14 | 37d08d53b05d6 |
| 15 | 1859b2539d730 |
| hex | b7e6df8204a0 |
202202220201120 has 768 divisors, whose sum is σ = 727130960640000. Its totient is φ = 52448875315200.
The previous prime is 202202220201103. The next prime is 202202220201187. The reversal of 202202220201120 is 21102022202202.
202202220201120 is a `hidden beast` number, since 2 + 0 + 220 + 2 + 220 + 201 + 1 + 20 = 666.
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 = 202202220201093 and 202202220201102.
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 127 ways as a sum of consecutive naturals, for example, 130537262106 + ... + 130537263654.
It is an arithmetic number, because the mean of its divisors is an integer number (946785105000).
Almost surely, 2202202220201120 is an apocalyptic number.
202202220201120 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 202202220201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363565480320000).
202202220201120 is an abundant number, since it is smaller than the sum of its proper divisors (524928740438880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202202220201120 is a wasteful number, since it uses less digits than its factorization.
202202220201120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3334 (or 3320 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 202202220201120 its reverse (21102022202202), we get a palindrome (223304242403322).
The spelling of 202202220201120 in words is "two hundred two trillion, two hundred two billion, two hundred twenty million, two hundred one thousand, one hundred twenty".
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