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10221010213 is a prime number
BaseRepresentation
bin10011000010011100…
…00011110100100101
3222101022122010010211
421201032003310211
5131413034311323
64410115415421
7511200103411
oct114116036445
928338563124
1010221010213
114375548287
121b92bb4571
13c6b71c94b
146cd653d41
153ec4b770d
hex261383d25

10221010213 has 2 divisors, whose sum is σ = 10221010214. Its totient is φ = 10221010212.

The previous prime is 10221010153. The next prime is 10221010223. The reversal of 10221010213 is 31201012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8990263489 + 1230746724 = 94817^2 + 35082^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10221010213 is a prime.

It is a super-3 number, since 3×102210102133 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221010193 and 10221010202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221010223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110505106 + 5110505107.

It is an arithmetic number, because the mean of its divisors is an integer number (5110505107).

Almost surely, 210221010213 is an apocalyptic number.

It is an amenable number.

10221010213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221010213 is an equidigital number, since it uses as much as digits as its factorization.

10221010213 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10221010213 its reverse (31201012201), we get a palindrome (41422022414).

The spelling of 10221010213 in words is "ten billion, two hundred twenty-one million, ten thousand, two hundred thirteen".