Base | Representation |
---|---|
bin | 110010110000001001100011… |
… | …000111001110110011001011 |
3 | 1002021022202220021010020122000 |
4 | 302300021203013032303023 |
5 | 213224042324440310011 |
6 | 2110421434140002043 |
7 | 65005320316320021 |
oct | 6260114307166313 |
9 | 1067282807106560 |
10 | 223211113213131 |
11 | 6513833534181a |
12 | 2104b986230323 |
13 | 9771943908024 |
14 | 3d19692b9a711 |
15 | 1ac1377592356 |
hex | cb02631ceccb |
223211113213131 has 16 divisors (see below), whose sum is σ = 330694257371520. Its totient is φ = 148802401800360.
The previous prime is 223211113213097. The next prime is 223211113213237. The reversal of 223211113213131 is 131312311112322.
223211113213131 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 11 + 11 + 321 + 313 + 1 = 666.
It is not a de Polignac number, because 223211113213131 - 219 = 223211112688843 is a prime.
It is a super-3 number, since 3×2232111132131313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 223211113213095 and 223211113213104.
It is not an unprimeable number, because it can be changed into a prime (223211113213631) 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 15 ways as a sum of consecutive naturals, for example, 138266185 + ... + 139871226.
It is an arithmetic number, because the mean of its divisors is an integer number (20668391085720).
Almost surely, 2223211113213131 is an apocalyptic number.
223211113213131 is a deficient number, since it is larger than the sum of its proper divisors (107483144158389).
223211113213131 is a wasteful number, since it uses less digits than its factorization.
223211113213131 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 278167143 (or 278167137 counting only the distinct ones).
The product of its digits is 1296, while the sum is 27.
Adding to 223211113213131 its reverse (131312311112322), we get a palindrome (354523424325453).
The spelling of 223211113213131 in words is "two hundred twenty-three trillion, two hundred eleven billion, one hundred thirteen million, two hundred thirteen thousand, one hundred thirty-one".
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