Base | Representation |
---|---|
bin | 11101001100101000001… |
… | …10110110000011100101 |
3 | 10112220110120202012112101 |
4 | 32212110012312003211 |
5 | 112414034310432323 |
6 | 2044511435052101 |
7 | 132323351010034 |
oct | 16462406660345 |
9 | 3486416665471 |
10 | 1003212202213 |
11 | 357507152a71 |
12 | 1425198a1031 |
13 | 737aa91a400 |
14 | 367accca71b |
15 | 1b168774dad |
hex | e9941b60e5 |
1003212202213 has 12 divisors (see below), whose sum is σ = 1086439154340. Its totient is φ = 925939213056.
The previous prime is 1003212202133. The next prime is 1003212202261. The reversal of 1003212202213 is 3122022123001.
It can be written as a sum of positive squares in 6 ways, for example, as 189205860484 + 814006341729 = 434978^2 + 902223^2 .
It is a de Polignac number, because none of the positive numbers 2k-1003212202213 is a prime.
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1003212208213) 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 11 ways as a sum of consecutive naturals, for example, 1218493 + ... + 1868461.
It is an arithmetic number, because the mean of its divisors is an integer number (90536596195).
Almost surely, 21003212202213 is an apocalyptic number.
1003212202213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.
It is an amenable number.
1003212202213 is a deficient number, since it is larger than the sum of its proper divisors (83226952127).
1003212202213 is an equidigital number, since it uses as much as digits as its factorization.
1003212202213 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 659128 (or 659115 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 19.
Adding to 1003212202213 its reverse (3122022123001), we get a palindrome (4125234325214).
The spelling of 1003212202213 in words is "one trillion, three billion, two hundred twelve million, two hundred two thousand, two hundred thirteen".
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