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221086749253 is a prime number
BaseRepresentation
bin1100110111100111001…
…1000001001001000101
3210010122220201112110111
43031321303001021011
512110241201434003
6245322120153021
721654510235036
oct3157163011105
9703586645414
10221086749253
1185842784aa7
1236a21608771
1317b04bb83b6
14a9b4856a8d
155b3e809e6d
hex3379cc1245

221086749253 has 2 divisors, whose sum is σ = 221086749254. Its totient is φ = 221086749252.

The previous prime is 221086749187. The next prime is 221086749269. The reversal of 221086749253 is 352947680122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186656833444 + 34429915809 = 432038^2 + 185553^2 .

It is a cyclic number.

It is not a de Polignac number, because 221086749253 - 29 = 221086748741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221086749197 and 221086749206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221086749553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110543374626 + 110543374627.

It is an arithmetic number, because the mean of its divisors is an integer number (110543374627).

It is a 2-persistent number, because it is pandigital, and so is 2⋅221086749253 = 442173498506, but 3⋅221086749253 = 663260247759 is not.

Almost surely, 2221086749253 is an apocalyptic number.

It is an amenable number.

221086749253 is a deficient number, since it is larger than the sum of its proper divisors (1).

221086749253 is an equidigital number, since it uses as much as digits as its factorization.

221086749253 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 221086749253 in words is "two hundred twenty-one billion, eighty-six million, seven hundred forty-nine thousand, two hundred fifty-three".