Base | Representation |
---|---|
bin | 1001101001000000101010… |
… | …01001001101101100110010 |
3 | 2210001201201021201102011100 |
4 | 10310200111021031230302 |
5 | 10234321220201410002 |
6 | 113031142310025230 |
7 | 4315446345561111 |
oct | 464402511155462 |
9 | 83051637642140 |
10 | 21200313310002 |
11 | 6834003199612 |
12 | 246491a048216 |
13 | baa247779878 |
14 | 53415a221c78 |
15 | 26b70730e11c |
hex | 13481524db32 |
21200313310002 has 12 divisors (see below), whose sum is σ = 45934012171710. Its totient is φ = 7066771103328.
The previous prime is 21200313309937. The next prime is 21200313310009. The reversal of 21200313310002 is 20001331300212.
21200313310002 is a `hidden beast` number, since 21 + 20 + 0 + 313 + 310 + 0 + 0 + 2 = 666.
It can be written as a sum of positive squares in only one way, i.e., 17289138636441 + 3911174673561 = 4158021^2 + 1977669^2 .
It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1177795183889 = 21200313310002 / (2 + 1 + 2 + 0 + 0 + 3 + 1 + 3 + 3 + 1 + 0 + 0 + 0 + 2).
It is not an unprimeable number, because it can be changed into a prime (21200313310009) 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 5 ways as a sum of consecutive naturals, for example, 588897591927 + ... + 588897591962.
Almost surely, 221200313310002 is an apocalyptic number.
21200313310002 is an abundant number, since it is smaller than the sum of its proper divisors (24733698861708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21200313310002 is a wasteful number, since it uses less digits than its factorization.
21200313310002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1177795183897 (or 1177795183894 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 21200313310002 its reverse (20001331300212), we get a palindrome (41201644610214).
The spelling of 21200313310002 in words is "twenty-one trillion, two hundred billion, three hundred thirteen million, three hundred ten thousand, two".
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