Base | Representation |
---|---|
bin | 11110100100101110101… |
… | …011011000011100110110 |
3 | 21102212002211210212202100 |
4 | 132210232223120130312 |
5 | 233410343131211042 |
6 | 4245110215522530 |
7 | 304536200313222 |
oct | 36445653303466 |
9 | 7385084725670 |
10 | 2101022132022 |
11 | 7400472468a0 |
12 | 29b238089446 |
13 | 123182a5c958 |
14 | 7399357d782 |
15 | 399bbd1b24c |
hex | 1e92ead8736 |
2101022132022 has 48 divisors (see below), whose sum is σ = 4999381592400. Its totient is φ = 632400388800.
The previous prime is 2101022132017. The next prime is 2101022132063. The reversal of 2101022132022 is 2202312201012.
2101022132022 is a `hidden beast` number, since 2 + 101 + 0 + 221 + 320 + 22 = 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 = 2101022131986 and 2101022132004.
It is a congruent number.
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 23 ways as a sum of consecutive naturals, for example, 35578629 + ... + 35637632.
It is an arithmetic number, because the mean of its divisors is an integer number (104153783175).
Almost surely, 22101022132022 is an apocalyptic number.
2101022132022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
2101022132022 is an abundant number, since it is smaller than the sum of its proper divisors (2898359460378).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2101022132022 is a wasteful number, since it uses less digits than its factorization.
2101022132022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71216429 (or 71216426 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 2101022132022 its reverse (2202312201012), we get a palindrome (4303334333034).
The spelling of 2101022132022 in words is "two trillion, one hundred one billion, twenty-two million, one hundred thirty-two thousand, twenty-two".
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