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10212212202133 is a prime number
BaseRepresentation
bin1001010010011011011101…
…0001111101101010010101
31100011021111121221002021111
42110212313101331222111
52314304102310432013
633415231525015021
72102544065323204
oct224466721755225
940137447832244
1010212212202133
113287a7a613457
12118b241254471
135910135794b6
142743b90a923b
1512a99a5a273d
hex949b747da95

10212212202133 has 2 divisors, whose sum is σ = 10212212202134. Its totient is φ = 10212212202132.

The previous prime is 10212212202107. The next prime is 10212212202151. The reversal of 10212212202133 is 33120221221201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9118811549169 + 1093400652964 = 3019737^2 + 1045658^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212212202133 - 225 = 10212178647701 is a prime.

It is a super-2 number, since 2×102122122021332 (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 (10212272202133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106106101066 + 5106106101067.

It is an arithmetic number, because the mean of its divisors is an integer number (5106106101067).

Almost surely, 210212212202133 is an apocalyptic number.

It is an amenable number.

10212212202133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212212202133 is an equidigital number, since it uses as much as digits as its factorization.

10212212202133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10212212202133 its reverse (33120221221201), we get a palindrome (43332433423334).

The spelling of 10212212202133 in words is "ten trillion, two hundred twelve billion, two hundred twelve million, two hundred two thousand, one hundred thirty-three".