Base | Representation |
---|---|
bin | 11101000111000011110… |
… | …00111001000100111000 |
3 | 10112121202012112100202010 |
4 | 32203201320321010320 |
5 | 112341423340400440 |
6 | 2043255025005520 |
7 | 132156303264543 |
oct | 16434170710470 |
9 | 3477665470663 |
10 | 1000222200120 |
11 | 3562123a1160 |
12 | 141a244838a0 |
13 | 734223267c0 |
14 | 365a7b6785a |
15 | 1b041008580 |
hex | e8e1e39138 |
1000222200120 has 256 divisors, whose sum is σ = 3526228339200. Its totient is φ = 223764387840.
The previous prime is 1000222200077. The next prime is 1000222200121. The reversal of 1000222200120 is 210022220001.
It is a super-2 number, since 2×10002222001202 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 1000222200096 and 1000222200105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1000222200121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95627451 + ... + 95637909.
It is an arithmetic number, because the mean of its divisors is an integer number (13774329450).
Almost surely, 21000222200120 is an apocalyptic number.
1000222200120 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 1000222200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763114169600).
1000222200120 is an abundant number, since it is smaller than the sum of its proper divisors (2526006139080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000222200120 is a wasteful number, since it uses less digits than its factorization.
1000222200120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16070 (or 16066 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 1000222200120 its reverse (210022220001), we get a palindrome (1210244420121).
The spelling of 1000222200120 in words is "one trillion, two hundred twenty-two million, two hundred thousand, one hundred twenty".
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