Base | Representation |
---|---|
bin | 1100111111001100001… |
… | …1100100010111111010 |
3 | 210022220200202211120200 |
4 | 3033303003210113322 |
5 | 12123423002143002 |
6 | 250300032103030 |
7 | 22056102215130 |
oct | 3176303442772 |
9 | 708820684520 |
10 | 223121131002 |
11 | 86697075130 |
12 | 372aa994a76 |
13 | 1806a50cc93 |
14 | ab28b01750 |
15 | 5c0d20eb1c |
hex | 33f30e45fa |
223121131002 has 96 divisors (see below), whose sum is σ = 603721931904. Its totient is φ = 57856896000.
The previous prime is 223121130989. The next prime is 223121131039. The reversal of 223121131002 is 200131121322.
It is a super-3 number, since 3×2231211310023 (a number of 35 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 (18).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699058 + ... + 966914.
It is an arithmetic number, because the mean of its divisors is an integer number (6288770124).
Almost surely, 2223121131002 is an apocalyptic number.
223121131002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 223121131002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301860965952).
223121131002 is an abundant number, since it is smaller than the sum of its proper divisors (380600800902).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223121131002 is a wasteful number, since it uses less digits than its factorization.
223121131002 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 268484 (or 268481 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 223121131002 its reverse (200131121322), we get a palindrome (423252252324).
The spelling of 223121131002 in words is "two hundred twenty-three billion, one hundred twenty-one million, one hundred thirty-one thousand, two".
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