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11001212313 = 3721312745329
BaseRepresentation
bin10100011111011100…
…10010110110011001
31001101200201111012220
422033232102312121
5140012302243223
65015350054253
7536422522200
oct121756226631
931350644186
1011001212313
114735996703
12217034a389
1310642603b0
14765108237
15445c2d6e3
hex28fb92d99

11001212313 has 48 divisors (see below), whose sum is σ = 18520750080. Its totient is φ = 5757018624.

The previous prime is 11001212297. The next prime is 11001212353. The reversal of 11001212313 is 31321210011.

It is a happy number.

It is not a de Polignac number, because 11001212313 - 24 = 11001212297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11001212292 and 11001212301.

It is not an unprimeable number, because it can be changed into a prime (11001212353) 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 47 ways as a sum of consecutive naturals, for example, 220033 + ... + 265361.

It is an arithmetic number, because the mean of its divisors is an integer number (385848960).

Almost surely, 211001212313 is an apocalyptic number.

11001212313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11001212313 is a deficient number, since it is larger than the sum of its proper divisors (7519537767).

11001212313 is a wasteful number, since it uses less digits than its factorization.

11001212313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45486 (or 45479 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11001212313 its reverse (31321210011), we get a palindrome (42322422324).

The spelling of 11001212313 in words is "eleven billion, one million, two hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 7 13 21 39 49 91 127 147 273 381 637 889 1651 1911 2667 4953 6223 11557 18669 34671 45329 80899 135987 242697 317303 589277 951909 1767831 2221121 4124939 5756783 6663363 12374817 17270349 28874573 40297481 74838179 86623719 120892443 224514537 282082367 523867253 846247101 1571601759 3667070771 11001212313