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10033313220221 is a prime number
BaseRepresentation
bin1001001000000001000000…
…0100100000011001111101
31022112011201211221011220112
42102000100010200121331
52303341211141021341
633201123534555405
72053611566136314
oct222002004403175
938464654834815
1010033313220221
113219116821485
121160634368b65
1357a1a2a81155
142698875d527b
15125ec9881aeb
hex9201012067d

10033313220221 has 2 divisors, whose sum is σ = 10033313220222. Its totient is φ = 10033313220220.

The previous prime is 10033313220211. The next prime is 10033313220247. The reversal of 10033313220221 is 12202231333001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9486467760121 + 546845460100 = 3080011^2 + 739490^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033313220221 - 222 = 10033309025917 is a prime.

It is a super-2 number, since 2×100333132202212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10033313220211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016656610110 + 5016656610111.

It is an arithmetic number, because the mean of its divisors is an integer number (5016656610111).

Almost surely, 210033313220221 is an apocalyptic number.

It is an amenable number.

10033313220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033313220221 is an equidigital number, since it uses as much as digits as its factorization.

10033313220221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10033313220221 its reverse (12202231333001), we get a palindrome (22235544553222).

The spelling of 10033313220221 in words is "ten trillion, thirty-three billion, three hundred thirteen million, two hundred twenty thousand, two hundred twenty-one".