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1013112011 is a prime number
BaseRepresentation
bin111100011000101…
…101110011001011
32121121100102102002
4330120231303023
54033324041021
6244310301215
734051211222
oct7430556313
92547312362
101013112011
1147a96a05a
1224335780b
13131b7b382
14987a1cb9
155de2150b
hex3c62dccb

1013112011 has 2 divisors, whose sum is σ = 1013112012. Its totient is φ = 1013112010.

The previous prime is 1013111999. The next prime is 1013112041. The reversal of 1013112011 is 1102113101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1013112011 - 26 = 1013111947 is a prime.

It is a super-3 number, since 3×10131120113 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013111983 and 1013112001.

It is not a weakly prime, because it can be changed into another prime (1013112041) 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 as a sum of consecutive naturals, namely, 506556005 + 506556006.

It is an arithmetic number, because the mean of its divisors is an integer number (506556006).

Almost surely, 21013112011 is an apocalyptic number.

1013112011 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013112011 is an equidigital number, since it uses as much as digits as its factorization.

1013112011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 1013112011 is about 31829.4205256709. The cubic root of 1013112011 is about 1004.3517055225.

Adding to 1013112011 its reverse (1102113101), we get a palindrome (2115225112).

The spelling of 1013112011 in words is "one billion, thirteen million, one hundred twelve thousand, eleven".