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23212102013 = 197968912161
BaseRepresentation
bin10101100111100011…
…001001000101111101
32012220200122221211222
4111213203021011331
5340014244231023
614355151523125
71451134416542
oct254743110575
965820587758
1023212102013
119931698891
1245b98294a5
13225bcc2a09
1411a2b40bc9
1590cc59cc8
hex5678c917d

23212102013 has 8 divisors (see below), whose sum is σ = 23334256440. Its totient is φ = 23089991680.

The previous prime is 23212102007. The next prime is 23212102051. The reversal of 23212102013 is 31020121232.

It can be written as a sum of positive squares in 4 ways, for example, as 7472392249 + 15739709764 = 86443^2 + 125458^2 .

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 23212102013 - 26 = 23212101949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23212101982 and 23212102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23212105013) 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, 1902653 + ... + 1914813.

It is an arithmetic number, because the mean of its divisors is an integer number (2916782055).

Almost surely, 223212102013 is an apocalyptic number.

It is an amenable number.

23212102013 is a deficient number, since it is larger than the sum of its proper divisors (122154427).

23212102013 is a wasteful number, since it uses less digits than its factorization.

23212102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22047.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 23212102013 its reverse (31020121232), we get a palindrome (54232223245).

The spelling of 23212102013 in words is "twenty-three billion, two hundred twelve million, one hundred two thousand, thirteen".

Divisors: 1 197 9689 12161 1908733 2395717 117827929 23212102013