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1020211013 is a prime number
BaseRepresentation
bin111100110011110…
…010111101000101
32122002201002102002
4330303302331011
54042133223023
6245122355045
734165436063
oct7463627505
92562632362
101020211013
114839786a8
122457bba85
13133495673
14996cd033
155e874b28
hex3ccf2f45

1020211013 has 2 divisors, whose sum is σ = 1020211014. Its totient is φ = 1020211012.

The previous prime is 1020210973. The next prime is 1020211019. The reversal of 1020211013 is 3101120201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 868009444 + 152201569 = 29462^2 + 12337^2 .

It is an emirp because it is prime and its reverse (3101120201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1020211013 is a prime.

It is a super-2 number, since 2×10202110132 = 2081661022092972338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020210985 and 1020211003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020211019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510105506 + 510105507.

It is an arithmetic number, because the mean of its divisors is an integer number (510105507).

Almost surely, 21020211013 is an apocalyptic number.

It is an amenable number.

1020211013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020211013 is an equidigital number, since it uses as much as digits as its factorization.

1020211013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1020211013 is about 31940.7422111635. The cubic root of 1020211013 is about 1006.6921199627.

Adding to 1020211013 its reverse (3101120201), we get a palindrome (4121331214).

The spelling of 1020211013 in words is "one billion, twenty million, two hundred eleven thousand, thirteen".