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1211400013 is a prime number
BaseRepresentation
bin100100000110100…
…0111111101001101
310010102110111102011
41020031013331031
54440104300023
6320112301221
742006505315
oct11015077515
93112414364
101211400013
1157189283a
12299841811
13163c86355
14b6c5a445
157153d50d
hex48347f4d

1211400013 has 2 divisors, whose sum is σ = 1211400014. Its totient is φ = 1211400012.

The previous prime is 1211400011. The next prime is 1211400061. The reversal of 1211400013 is 3100041121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1087812324 + 123587689 = 32982^2 + 11117^2 .

It is a cyclic number.

It is not a de Polignac number, because 1211400013 - 21 = 1211400011 is a prime.

It is a super-3 number, since 3×12114000133 (a number of 28 digits) contains 333 as substring.

Together with 1211400011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1211399966 and 1211400002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1211400011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 605700006 + 605700007.

It is an arithmetic number, because the mean of its divisors is an integer number (605700007).

Almost surely, 21211400013 is an apocalyptic number.

It is an amenable number.

1211400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1211400013 is an equidigital number, since it uses as much as digits as its factorization.

1211400013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1211400013 is about 34805.1722162095. The cubic root of 1211400013 is about 1066.0130582478.

Adding to 1211400013 its reverse (3100041121), we get a palindrome (4311441134).

The spelling of 1211400013 in words is "one billion, two hundred eleven million, four hundred thousand, thirteen".