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11230311313 = 137323350789
BaseRepresentation
bin10100111010110000…
…01111001110010001
31001222122210220222001
422131120033032101
5140444424430223
65054212314001
7545204033254
oct123530171621
931878726861
1011230311313
114843244121
122215012901
13109c865530
1478770309b
1545add49ad
hex29d60f391

11230311313 has 16 divisors (see below), whose sum is σ = 12312714960. Its totient is φ = 10180353024.

The previous prime is 11230311307. The next prime is 11230311319. The reversal of 11230311313 is 31311303211.

11230311313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11230311307) and next prime (11230311319).

It can be written as a sum of positive squares in 8 ways, for example, as 3678179904 + 7552131409 = 60648^2 + 86903^2 .

It is a cyclic number.

It is not a de Polignac number, because 11230311313 - 213 = 11230303121 is a prime.

It is a super-2 number, since 2×112303113132 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11230311319) 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 15 ways as a sum of consecutive naturals, for example, 195723 + ... + 246511.

It is an arithmetic number, because the mean of its divisors is an integer number (769544685).

Almost surely, 211230311313 is an apocalyptic number.

11230311313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11230311313 is a deficient number, since it is larger than the sum of its proper divisors (1082403647).

11230311313 is a wasteful number, since it uses less digits than its factorization.

11230311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51108.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11230311313 its reverse (31311303211), we get a palindrome (42541614524).

The spelling of 11230311313 in words is "eleven billion, two hundred thirty million, three hundred eleven thousand, three hundred thirteen".

Divisors: 1 13 73 233 949 3029 17009 50789 221117 660257 3707597 11833837 48198761 153839881 863870101 11230311313