Base | Representation |
---|---|
bin | 1010000100000110001111… |
… | …01001101011101110110011 |
3 | 2220100201000220121221212100 |
4 | 11002003013221223232303 |
5 | 10400043312400231003 |
6 | 115022503432031443 |
7 | 4442625222354042 |
oct | 502030751535663 |
9 | 86321026557770 |
10 | 22131021102003 |
11 | 7062793504000 |
12 | 2595182232583 |
13 | c46c3c1379a8 |
14 | 56720ba58559 |
15 | 285a2a675ba3 |
hex | 1420c7a6bbb3 |
22131021102003 has 48 divisors (see below), whose sum is σ = 35737748253792. Its totient is φ = 13192858641600.
The previous prime is 22131021101993. The next prime is 22131021102079. The reversal of 22131021102003 is 30020112013122.
22131021102003 is a `hidden beast` number, since 221 + 31 + 0 + 211 + 0 + 200 + 3 = 666.
It is not a de Polignac number, because 22131021102003 - 25 = 22131021101971 is a prime.
It is a super-2 number, since 2×221310211020032 (a number of 27 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (22131021101003) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 14412600 + ... + 15874037.
It is an arithmetic number, because the mean of its divisors is an integer number (744536421954).
Almost surely, 222131021102003 is an apocalyptic number.
22131021102003 is a deficient number, since it is larger than the sum of its proper divisors (13606727151789).
22131021102003 is a wasteful number, since it uses less digits than its factorization.
22131021102003 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30286737 (or 30286712 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 22131021102003 its reverse (30020112013122), we get a palindrome (52151133115125).
The spelling of 22131021102003 in words is "twenty-two trillion, one hundred thirty-one billion, twenty-one million, one hundred two thousand, three".
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