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82830289842301 is a prime number
BaseRepresentation
bin10010110101010101101110…
…000000001011000001111101
3101212021111110022112000211211
4102311111232000023001331
541324042413144423201
6452055413154244421
723306201540621521
oct2265255600130175
9355244408460754
1082830289842301
1124435146264541
129359094586711
13372ab2a7ba561
141665016501d81
15989914ed6651
hex4b556e00b07d

82830289842301 has 2 divisors, whose sum is σ = 82830289842302. Its totient is φ = 82830289842300.

The previous prime is 82830289842299. The next prime is 82830289842329. The reversal of 82830289842301 is 10324898203828.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48798537504025 + 34031752338276 = 6985595^2 + 5833674^2 .

It is a cyclic number.

It is not a de Polignac number, because 82830289842301 - 21 = 82830289842299 is a prime.

It is a super-3 number, since 3×828302898423013 (a number of 43 digits) contains 333 as substring.

Together with 82830289842299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82830289842901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41415144921150 + 41415144921151.

It is an arithmetic number, because the mean of its divisors is an integer number (41415144921151).

Almost surely, 282830289842301 is an apocalyptic number.

It is an amenable number.

82830289842301 is a deficient number, since it is larger than the sum of its proper divisors (1).

82830289842301 is an equidigital number, since it uses as much as digits as its factorization.

82830289842301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10616832, while the sum is 58.

The spelling of 82830289842301 in words is "eighty-two trillion, eight hundred thirty billion, two hundred eighty-nine million, eight hundred forty-two thousand, three hundred one".