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21211010120093 is a prime number
BaseRepresentation
bin1001101001010100100101…
…01110010011100110011101
32210002202022202122200000212
410310222102232103212131
510240010122042320333
6113040111543502205
74316305414140263
oct464522256234635
983082282580025
1021211010120093
1168385a2274332
122466a04457965
13bab26092a4b1
14534892b2c433
1526bb3145e448
hex134a92b9399d

21211010120093 has 2 divisors, whose sum is σ = 21211010120094. Its totient is φ = 21211010120092.

The previous prime is 21211010120087. The next prime is 21211010120137. The reversal of 21211010120093 is 39002101011212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12636731013124 + 8574279106969 = 3554818^2 + 2928187^2 .

It is a cyclic number.

It is not a de Polignac number, because 21211010120093 - 26 = 21211010120029 is a prime.

It is a super-3 number, since 3×212110101200933 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21211010120593) 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, 10605505060046 + 10605505060047.

It is an arithmetic number, because the mean of its divisors is an integer number (10605505060047).

Almost surely, 221211010120093 is an apocalyptic number.

It is an amenable number.

21211010120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

21211010120093 is an equidigital number, since it uses as much as digits as its factorization.

21211010120093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 21211010120093 in words is "twenty-one trillion, two hundred eleven billion, ten million, one hundred twenty thousand, ninety-three".