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82133101693 is a prime number
BaseRepresentation
bin100110001111110000…
…0111010110001111101
321211222222220212102101
41030133200322301331
52321202033223233
6101421553225101
75635222562656
oct1143740726175
9254888825371
1082133101693
1131917aa3a45
1213b02262191
13798c042676
143d921a052d
15220a8c3c7d
hex131f83ac7d

82133101693 has 2 divisors, whose sum is σ = 82133101694. Its totient is φ = 82133101692.

The previous prime is 82133101643. The next prime is 82133101781. The reversal of 82133101693 is 39610133128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49378617369 + 32754484324 = 222213^2 + 180982^2 .

It is a cyclic number.

It is not a de Polignac number, because 82133101693 - 213 = 82133093501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82133101643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41066550846 + 41066550847.

It is an arithmetic number, because the mean of its divisors is an integer number (41066550847).

Almost surely, 282133101693 is an apocalyptic number.

It is an amenable number.

82133101693 is a deficient number, since it is larger than the sum of its proper divisors (1).

82133101693 is an equidigital number, since it uses as much as digits as its factorization.

82133101693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 82133101693 in words is "eighty-two billion, one hundred thirty-three million, one hundred one thousand, six hundred ninety-three".