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33330312013 = 1713714310997
BaseRepresentation
bin11111000010101001…
…000011001101001101
310012000211212021121111
4133002221003031031
51021230024441023
623151200132021
72256645656215
oct370251031515
9105024767544
1033330312013
1113154101809
126562307011
1331b232b41b
141882875245
15d011b800d
hex7c2a4334d

33330312013 has 8 divisors (see below), whose sum is σ = 35548519032. Its totient is φ = 31140727296.

The previous prime is 33330311953. The next prime is 33330312049. The reversal of 33330312013 is 31021303333.

It can be written as a sum of positive squares in 4 ways, for example, as 10554069289 + 22776242724 = 102733^2 + 150918^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-33330312013 is a prime.

It is a super-2 number, since 2×333303120132 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33330312073) 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 7 ways as a sum of consecutive naturals, for example, 7153170 + ... + 7157827.

It is an arithmetic number, because the mean of its divisors is an integer number (4443564879).

Almost surely, 233330312013 is an apocalyptic number.

It is an amenable number.

33330312013 is a deficient number, since it is larger than the sum of its proper divisors (2218207019).

33330312013 is a wasteful number, since it uses less digits than its factorization.

33330312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14311151.

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 33330312013 its reverse (31021303333), we get a palindrome (64351615346).

The spelling of 33330312013 in words is "thirty-three billion, three hundred thirty million, three hundred twelve thousand, thirteen".

Divisors: 1 17 137 2329 14310997 243286949 1960606589 33330312013