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12221001013 = 136343148207
BaseRepresentation
bin10110110000110110…
…11010110100110101
31011112200222011202011
423120123122310311
5200012034013023
65340402244221
7611563536364
oct133033326465
934480864664
1012221001013
115201488a41
122450956671
1311c9b92a60
1483d1097db
154b7d7750d
hex2d86dad35

12221001013 has 8 divisors (see below), whose sum is σ = 13163241728. Its totient is φ = 11279069424.

The previous prime is 12221001007. The next prime is 12221001097. The reversal of 12221001013 is 31010012221.

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 12221001013 - 29 = 12221000501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 12221000984 and 12221001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221001113) 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, 8356 + ... + 156562.

It is an arithmetic number, because the mean of its divisors is an integer number (1645405216).

Almost surely, 212221001013 is an apocalyptic number.

12221001013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12221001013 is a deficient number, since it is larger than the sum of its proper divisors (942240715).

12221001013 is a wasteful number, since it uses less digits than its factorization.

12221001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154563.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12221001013 its reverse (31010012221), we get a palindrome (43231013234).

The spelling of 12221001013 in words is "twelve billion, two hundred twenty-one million, one thousand, thirteen".

Divisors: 1 13 6343 82459 148207 1926691 940077001 12221001013