Base | Representation |
---|---|
bin | 110010101110111110111101… |
… | …001111101110010001010010 |
3 | 1002021001010011111111202201100 |
4 | 302232332331033232101102 |
5 | 213221234312334310002 |
6 | 2110320550450045230 |
7 | 64666453464655440 |
oct | 6256767517562122 |
9 | 1067033144452640 |
10 | 223131021010002 |
11 | 6510737538a106 |
12 | 21038353579816 |
13 | 976721b65c561 |
14 | 3d15855a9db90 |
15 | 1abe23ae5e11c |
hex | caefbd3ee452 |
223131021010002 has 96 divisors (see below), whose sum is σ = 558345626092800. Its totient is φ = 63079760361600.
The previous prime is 223131021009997. The next prime is 223131021010039. The reversal of 223131021010002 is 200010120131322.
223131021010002 is a `hidden beast` number, since 2 + 231 + 310 + 21 + 0 + 100 + 0 + 2 = 666.
It is a super-3 number, since 3×2231310210100023 (a number of 44 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14052963 + ... + 25372185.
It is an arithmetic number, because the mean of its divisors is an integer number (5816100271800).
Almost surely, 2223131021010002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223131021010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279172813046400).
223131021010002 is an abundant number, since it is smaller than the sum of its proper divisors (335214605082798).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223131021010002 is a wasteful number, since it uses less digits than its factorization.
223131021010002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11320888 (or 11320885 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 223131021010002 its reverse (200010120131322), we get a palindrome (423141141141324).
The spelling of 223131021010002 in words is "two hundred twenty-three trillion, one hundred thirty-one billion, twenty-one million, ten thousand, two".
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