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221414265321097 is a prime number
BaseRepresentation
bin110010010110000000000110…
…101000011111011010001001
31002000221222220211210202101211
4302112000012220133122021
5213010122403410233342
62102524150445413121
764431436621251052
oct6226000650373211
91060858824722354
10221414265321097
1164605298574542
12209bb69956a1a1
139671377733884
143c96716cab729
151a8e75e626c17
hexc96006a1f689

221414265321097 has 2 divisors, whose sum is σ = 221414265321098. Its totient is φ = 221414265321096.

The previous prime is 221414265321071. The next prime is 221414265321143. The reversal of 221414265321097 is 790123562414122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125989422699001 + 95424842622096 = 11224501^2 + 9768564^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221414265321097 is a prime.

It is a super-3 number, since 3×2214142653210973 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 221414265321097.

It is not a weakly prime, because it can be changed into another prime (221414265321397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110707132660548 + 110707132660549.

It is an arithmetic number, because the mean of its divisors is an integer number (110707132660549).

Almost surely, 2221414265321097 is an apocalyptic number.

It is an amenable number.

221414265321097 is a deficient number, since it is larger than the sum of its proper divisors (1).

221414265321097 is an equidigital number, since it uses as much as digits as its factorization.

221414265321097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 221414265321097 in words is "two hundred twenty-one trillion, four hundred fourteen billion, two hundred sixty-five million, three hundred twenty-one thousand, ninety-seven".