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12202011002057 is a prime number
BaseRepresentation
bin1011000110010000000010…
…0010000000010011001001
31121012111112010102021111112
42301210000202000103021
53044404204304031212
641541305414540105
72366365131133202
oct261440042002311
947174463367445
1012202011002057
113984931117678
1214509b8967635
136a684c538ab6
1430281abc05a9
15162607bcc422
hexb19008804c9

12202011002057 has 2 divisors, whose sum is σ = 12202011002058. Its totient is φ = 12202011002056.

The previous prime is 12202011001963. The next prime is 12202011002113. The reversal of 12202011002057 is 75020011020221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11855736422656 + 346274579401 = 3443216^2 + 588451^2 .

It is a cyclic number.

It is not a de Polignac number, because 12202011002057 - 28 = 12202011001801 is a prime.

It is not a weakly prime, because it can be changed into another prime (12202011202057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6101005501028 + 6101005501029.

It is an arithmetic number, because the mean of its divisors is an integer number (6101005501029).

Almost surely, 212202011002057 is an apocalyptic number.

It is an amenable number.

12202011002057 is a deficient number, since it is larger than the sum of its proper divisors (1).

12202011002057 is an equidigital number, since it uses as much as digits as its factorization.

12202011002057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 23.

Adding to 12202011002057 its reverse (75020011020221), we get a palindrome (87222022022278).

The spelling of 12202011002057 in words is "twelve trillion, two hundred two billion, eleven million, two thousand, fifty-seven".