Base | Representation |
---|---|
bin | 1010000011100001010101… |
… | …11100000010100101010101 |
3 | 2220021210220101100102202100 |
4 | 11001300222330002211111 |
5 | 10344232230234201401 |
6 | 115005430042432313 |
7 | 4441324306066356 |
oct | 501605274024525 |
9 | 86253811312670 |
10 | 22111212022101 |
11 | 7055348826094 |
12 | 2591374202699 |
13 | c45103188537 |
14 | 56628cc6dd2d |
15 | 28526b56db86 |
hex | 141c2af02955 |
22111212022101 has 24 divisors (see below), whose sum is σ = 33040609875000. Its totient is φ = 14232130480512.
The previous prime is 22111212021979. The next prime is 22111212022103. The reversal of 22111212022101 is 10122021211122.
22111212022101 is a `hidden beast` number, since 221 + 11 + 21 + 202 + 210 + 1 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1912937948100 + 20198274074001 = 1383090^2 + 4494249^2 .
It is not a de Polignac number, because 22111212022101 - 215 = 22111211989333 is a prime.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22111212022103) 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 23 ways as a sum of consecutive naturals, for example, 9020335 + ... + 11206643.
It is an arithmetic number, because the mean of its divisors is an integer number (1376692078125).
Almost surely, 222111212022101 is an apocalyptic number.
It is an amenable number.
22111212022101 is a deficient number, since it is larger than the sum of its proper divisors (10929397852899).
22111212022101 is a wasteful number, since it uses less digits than its factorization.
22111212022101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2225093 (or 2225090 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 22111212022101 its reverse (10122021211122), we get a palindrome (32233233233223).
The spelling of 22111212022101 in words is "twenty-two trillion, one hundred eleven billion, two hundred twelve million, twenty-two thousand, one hundred one".
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