Base | Representation |
---|---|
bin | 11101101111110110011… |
… | …10110011011110010100 |
3 | 10121201021110021012020100 |
4 | 32313323032303132110 |
5 | 113221301241224340 |
6 | 2101320110134100 |
7 | 133563066305445 |
oct | 16677316633624 |
9 | 3551243235210 |
10 | 1022122211220 |
11 | 364530383690 |
12 | 1461167b1330 |
13 | 7550253a056 |
14 | 3768451b2cc |
15 | 1b8c3985830 |
hex | edfb3b3794 |
1022122211220 has 288 divisors, whose sum is σ = 3595951666944. Its totient is φ = 232541337600.
The previous prime is 1022122211219. The next prime is 1022122211221. The reversal of 1022122211220 is 221122212201.
It is a happy number.
1022122211220 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 221 + 1 + 220 = 666.
It is an interprime number because it is at equal distance from previous prime (1022122211219) and next prime (1022122211221).
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 = 1022122211193 and 1022122211202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1022122211221) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2201880 + ... + 2625360.
It is an arithmetic number, because the mean of its divisors is an integer number (12485943288).
Almost surely, 21022122211220 is an apocalyptic number.
1022122211220 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 1022122211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797975833472).
1022122211220 is an abundant number, since it is smaller than the sum of its proper divisors (2573829455724).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022122211220 is a wasteful number, since it uses less digits than its factorization.
1022122211220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 423583 (or 423578 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 1022122211220 its reverse (221122212201), we get a palindrome (1243244423421).
The spelling of 1022122211220 in words is "one trillion, twenty-two billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twenty".
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