Base | Representation |
---|---|
bin | 11111000001110001000… |
… | …010010100001001001110 |
3 | 21112211120200212101201000 |
4 | 133001301002110021032 |
5 | 234413221223223042 |
6 | 4311304054201130 |
7 | 310021623520560 |
oct | 37016102241116 |
9 | 7484520771630 |
10 | 2132200211022 |
11 | 752296484032 |
12 | 2a52996531a6 |
13 | 1260b12125cb |
14 | 752b024d330 |
15 | 3a6e40a074c |
hex | 1f07109424e |
2132200211022 has 128 divisors (see below), whose sum is σ = 5720700902400. Its totient is φ = 575052835968.
The previous prime is 2132200211021. The next prime is 2132200211083. The reversal of 2132200211022 is 2201120022312.
2132200211022 is a `hidden beast` number, since 213 + 220 + 0 + 211 + 0 + 22 = 666.
It is a super-2 number, since 2×21322002110222 (a number of 25 digits) contains 22 as substring.
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 = 2132200210986 and 2132200211004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2132200211021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1453528 + ... + 2525300.
It is an arithmetic number, because the mean of its divisors is an integer number (44692975800).
Almost surely, 22132200211022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2132200211022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860350451200).
2132200211022 is an abundant number, since it is smaller than the sum of its proper divisors (3588500691378).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2132200211022 is a wasteful number, since it uses less digits than its factorization.
2132200211022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1072087 (or 1072081 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 2132200211022 its reverse (2201120022312), we get a palindrome (4333320233334).
The spelling of 2132200211022 in words is "two trillion, one hundred thirty-two billion, two hundred million, two hundred eleven thousand, twenty-two".
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