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1011120013 is a prime number
BaseRepresentation
bin111100010001000…
…111011110001101
32121110121012220101
4330101013132031
54032321320023
6244155451101
734025243521
oct7421073615
92543535811
101011120013
11479829482
12242756a91
13131631787
1498403d81
155db7b1ad
hex3c44778d

1011120013 has 2 divisors, whose sum is σ = 1011120014. Its totient is φ = 1011120012.

The previous prime is 1011119987. The next prime is 1011120023. The reversal of 1011120013 is 3100211101.

It is an a-pointer prime, because the next prime (1011120023) can be obtained adding 1011120013 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1000963044 + 10156969 = 31638^2 + 3187^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011120013 - 225 = 977565581 is a prime.

It is a super-3 number, since 3×10111200133 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011120023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505560006 + 505560007.

It is an arithmetic number, because the mean of its divisors is an integer number (505560007).

Almost surely, 21011120013 is an apocalyptic number.

It is an amenable number.

1011120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011120013 is an equidigital number, since it uses as much as digits as its factorization.

1011120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1011120013 is about 31798.1133559839. The cubic root of 1011120013 is about 1003.6930158451.

Adding to 1011120013 its reverse (3100211101), we get a palindrome (4111331114).

The spelling of 1011120013 in words is "one billion, eleven million, one hundred twenty thousand, thirteen".