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12220123300093 is a prime number
BaseRepresentation
bin1011000111010011100000…
…0110111100000011111101
31121021020021101220100110201
42301310320012330003331
53100203303031100333
641553502552203501
72400606022130632
oct261647006740375
947236241810421
1012220123300093
113991586030225
121454412699591
136a8477ac7707
143036584c0189
15162d17d6917d
hexb1d381bc0fd

12220123300093 has 2 divisors, whose sum is σ = 12220123300094. Its totient is φ = 12220123300092.

The previous prime is 12220123300081. The next prime is 12220123300111. The reversal of 12220123300093 is 39000332102221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10685589529924 + 1534533770169 = 3268882^2 + 1238763^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12220123300093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12220123300013) 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, 6110061650046 + 6110061650047.

It is an arithmetic number, because the mean of its divisors is an integer number (6110061650047).

Almost surely, 212220123300093 is an apocalyptic number.

It is an amenable number.

12220123300093 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220123300093 is an equidigital number, since it uses as much as digits as its factorization.

12220123300093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 12220123300093 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-three million, three hundred thousand, ninety-three".