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2123320013 = 41217923767
BaseRepresentation
bin111111010001111…
…0100101011001101
312110222101211110222
41332203310223031
513322032220023
6550410041125
7103421631233
oct17643645315
95428354428
102123320013
1199a616831
124b31191a5
1327ab94499
14161dda953
15c6621cc8
hex7e8f4acd

2123320013 has 8 divisors (see below), whose sum is σ = 2176198080. Its totient is φ = 2070493920.

The previous prime is 2123319943. The next prime is 2123320021. The reversal of 2123320013 is 3100233212.

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

It is a cyclic number.

It is not a de Polignac number, because 2123320013 - 212 = 2123315917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2123319973 and 2123320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123320033) 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 7 ways as a sum of consecutive naturals, for example, 77456 + ... + 101222.

It is an arithmetic number, because the mean of its divisors is an integer number (272024760).

Almost surely, 22123320013 is an apocalyptic number.

It is an amenable number.

2123320013 is a deficient number, since it is larger than the sum of its proper divisors (52878067).

2123320013 is a wasteful number, since it uses less digits than its factorization.

2123320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25987.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2123320013 is about 46079.4966660878. The cubic root of 2123320013 is about 1285.3019044656.

Adding to 2123320013 its reverse (3100233212), we get a palindrome (5223553225).

The spelling of 2123320013 in words is "two billion, one hundred twenty-three million, three hundred twenty thousand, thirteen".

Divisors: 1 41 2179 23767 89339 974447 51788293 2123320013