Base | Representation |
---|---|
bin | 1001001000000000101011… |
… | …0000001111101111101100 |
3 | 1022112011111122002111100111 |
4 | 2102000022300033233230 |
5 | 2303341020322214040 |
6 | 33201111031105404 |
7 | 2053606434026212 |
oct | 222001260175754 |
9 | 38464448074314 |
10 | 10033224023020 |
11 | 3219080439290 |
12 | 116060a512264 |
13 | 57a18a450743 |
14 | 269879816cb2 |
15 | 125ec1b12dea |
hex | 9200ac0fbec |
10033224023020 has 96 divisors (see below), whose sum is σ = 23164233422400. Its totient is φ = 3620080189440.
The previous prime is 10033224023003. The next prime is 10033224023027. The reversal of 10033224023020 is 2032042233001.
It is a super-2 number, since 2×100332240230202 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 10033224022982 and 10033224023000.
It is not an unprimeable number, because it can be changed into a prime (10033224023027) 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 31 ways as a sum of consecutive naturals, for example, 30551532 + ... + 30878188.
It is an arithmetic number, because the mean of its divisors is an integer number (241294098150).
Almost surely, 210033224023020 is an apocalyptic number.
10033224023020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10033224023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582116711200).
10033224023020 is an abundant number, since it is smaller than the sum of its proper divisors (13131009399380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10033224023020 is a wasteful number, since it uses less digits than its factorization.
10033224023020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 327763 (or 327761 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 22.
Adding to 10033224023020 its reverse (2032042233001), we get a palindrome (12065266256021).
The spelling of 10033224023020 in words is "ten trillion, thirty-three billion, two hundred twenty-four million, twenty-three thousand, twenty".
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