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21221233000213 is a prime number
BaseRepresentation
bin1001101001100111101000…
…00011011111111100010101
32210010201201012210210012111
410310303310003133330111
510240142041122001323
6113044522211351021
74320116636162431
oct464636403377425
983121635723174
1021221233000213
116841968879494
122468997bb2471
13bac1cc85329c
1453518270b9c1
1526c02db95c0d
hex134cf40dff15

21221233000213 has 2 divisors, whose sum is σ = 21221233000214. Its totient is φ = 21221233000212.

The previous prime is 21221233000169. The next prime is 21221233000309. The reversal of 21221233000213 is 31200033212212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18934142390244 + 2287090609969 = 4351338^2 + 1512313^2 .

It is a cyclic number.

It is not a de Polignac number, because 21221233000213 - 217 = 21221232869141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21221233000313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10610616500106 + 10610616500107.

It is an arithmetic number, because the mean of its divisors is an integer number (10610616500107).

Almost surely, 221221233000213 is an apocalyptic number.

It is an amenable number.

21221233000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

21221233000213 is an equidigital number, since it uses as much as digits as its factorization.

21221233000213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 21221233000213 its reverse (31200033212212), we get a palindrome (52421266212425).

The spelling of 21221233000213 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred thirty-three million, two hundred thirteen", and thus it is an aban number.