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213300320033 = 17127331298477
BaseRepresentation
bin1100011010100110110…
…0001001011100100001
3202101120021011221121002
43012221230021130201
511443314340220113
6241553330041345
721260531543153
oct3065154113441
9671507157532
10213300320033
1182507519529
1235409a19255
13171639a1528
14a4766a4ad3
155835e49c58
hex31a9b09721

213300320033 has 16 divisors (see below), whose sum is σ = 228314179584. Its totient is φ = 198570113280.

The previous prime is 213300320003. The next prime is 213300320041. The reversal of 213300320033 is 330023003312.

It is a cyclic number.

It is not a de Polignac number, because 213300320033 - 212 = 213300315937 is a prime.

It is a super-2 number, since 2×2133003200332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213300319987 and 213300320014.

It is not an unprimeable number, because it can be changed into a prime (213300320003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565391 + ... + 863867.

It is an arithmetic number, because the mean of its divisors is an integer number (14269636224).

Almost surely, 2213300320033 is an apocalyptic number.

It is an amenable number.

213300320033 is a deficient number, since it is larger than the sum of its proper divisors (15013859551).

213300320033 is a wasteful number, since it uses less digits than its factorization.

213300320033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298952.

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 213300320033 its reverse (330023003312), we get a palindrome (543323323345).

The spelling of 213300320033 in words is "two hundred thirteen billion, three hundred million, three hundred twenty thousand, thirty-three".

Divisors: 1 17 127 331 2159 5627 42037 298477 714629 5074109 37906579 98795887 644411843 1679530079 12547077649 213300320033