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1221111000013 is a prime number
BaseRepresentation
bin10001110001001111111…
…000110010101111001101
311022201220022210000201211
4101301033320302233031
5130001313404000023
62332545354334421
7154136161146022
oct21611770625715
94281808700654
101221111000013
11430963363943
121787ab72a411
138b1c51c50a8
14431601b3549
1521b6d261a0d
hex11c4fe32bcd

1221111000013 has 2 divisors, whose sum is σ = 1221111000014. Its totient is φ = 1221111000012.

The previous prime is 1221110999951. The next prime is 1221111000023. The reversal of 1221111000013 is 3100001111221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 721434493129 + 499676506884 = 849373^2 + 706878^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1221111000013 is a prime.

It is a super-2 number, since 2×12211110000132 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221110999957 and 1221111000002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1221111000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610555500006 + 610555500007.

It is an arithmetic number, because the mean of its divisors is an integer number (610555500007).

Almost surely, 21221111000013 is an apocalyptic number.

It is an amenable number.

1221111000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221111000013 is an equidigital number, since it uses as much as digits as its factorization.

1221111000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1221111000013 its reverse (3100001111221), we get a palindrome (4321112111234).

The spelling of 1221111000013 in words is "one trillion, two hundred twenty-one billion, one hundred eleven million, thirteen", and thus it is an aban number.