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1337250213 = 321311429489
BaseRepresentation
bin100111110110100…
…1101000110100101
310110012021100102200
41033231031012211
510214314001323
6340405525113
745065303445
oct11755150645
93405240380
101337250213
1162692a972
12313a13799
1318407b020
14c985a125
157c5ec443
hex4fb4d1a5

1337250213 has 12 divisors (see below), whose sum is σ = 2080167180. Its totient is φ = 822923136.

The previous prime is 1337250203. The next prime is 1337250217. The reversal of 1337250213 is 3120527331.

It can be written as a sum of positive squares in 2 ways, for example, as 98069409 + 1239180804 = 9903^2 + 35202^2 .

It is not a de Polignac number, because 1337250213 - 25 = 1337250181 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337250217) 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 11 ways as a sum of consecutive naturals, for example, 5714628 + ... + 5714861.

It is an arithmetic number, because the mean of its divisors is an integer number (173347265).

Almost surely, 21337250213 is an apocalyptic number.

1337250213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1337250213 is a deficient number, since it is larger than the sum of its proper divisors (742916967).

1337250213 is a wasteful number, since it uses less digits than its factorization.

1337250213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11429508 (or 11429505 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1337250213 is about 36568.4319188012. The cubic root of 1337250213 is about 1101.7191336176.

Adding to 1337250213 its reverse (3120527331), we get a palindrome (4457777544).

The spelling of 1337250213 in words is "one billion, three hundred thirty-seven million, two hundred fifty thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 117 11429489 34288467 102865401 148583357 445750071 1337250213