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221012129981 is a prime number
BaseRepresentation
bin1100110111010101011…
…0010111100010111101
3210010110201022111001202
43031311112113202331
512110113101124411
6245310452545245
721652613052116
oct3156526274275
9703421274052
10221012129981
1185804649485
1236a00622225
1317ac25c0196
14a9a899120d
155b37eba83b
hex33755978bd

221012129981 has 2 divisors, whose sum is σ = 221012129982. Its totient is φ = 221012129980.

The previous prime is 221012129963. The next prime is 221012130013. The reversal of 221012129981 is 189921210122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220556093956 + 456036025 = 469634^2 + 21355^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221012129981 is a prime.

It is a super-2 number, since 2×2210121299812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221012129081) 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, 110506064990 + 110506064991.

It is an arithmetic number, because the mean of its divisors is an integer number (110506064991).

Almost surely, 2221012129981 is an apocalyptic number.

It is an amenable number.

221012129981 is a deficient number, since it is larger than the sum of its proper divisors (1).

221012129981 is an equidigital number, since it uses as much as digits as its factorization.

221012129981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 38.

The spelling of 221012129981 in words is "two hundred twenty-one billion, twelve million, one hundred twenty-nine thousand, nine hundred eighty-one".