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83826220381 is a prime number
BaseRepresentation
bin100111000010001101…
…1101001110101011101
322000100222211012121221
41032010123221311131
52333134003023011
6102301554453341
76025202055031
oct1160433516535
9260328735557
1083826220381
1132606797092
12142b5294251
137b9ba4ca47
1440b2db41c1
1522a9368971
hex13846e9d5d

83826220381 has 2 divisors, whose sum is σ = 83826220382. Its totient is φ = 83826220380.

The previous prime is 83826220369. The next prime is 83826220391. The reversal of 83826220381 is 18302262838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43153414756 + 40672805625 = 207734^2 + 201675^2 .

It is a cyclic number.

It is not a de Polignac number, because 83826220381 - 25 = 83826220349 is a prime.

It is a super-2 number, since 2×838262203812 (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 (83826220301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41913110190 + 41913110191.

It is an arithmetic number, because the mean of its divisors is an integer number (41913110191).

Almost surely, 283826220381 is an apocalyptic number.

It is an amenable number.

83826220381 is a deficient number, since it is larger than the sum of its proper divisors (1).

83826220381 is an equidigital number, since it uses as much as digits as its factorization.

83826220381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 83826220381 in words is "eighty-three billion, eight hundred twenty-six million, two hundred twenty thousand, three hundred eighty-one".