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82308461301 = 32111943757821
BaseRepresentation
bin100110010100111110…
…1110111001011110101
321212110012220001120200
41030221331313023311
52322031431230201
6101451215551113
75642452243323
oct1145175671365
9255405801520
1082308461301
11319a7a87240
1213b50b2b499
1379b9480351
143dab5aad13
15221aeb2386
hex1329f772f5

82308461301 has 24 divisors (see below), whose sum is σ = 136524404640. Its totient is φ = 47258445600.

The previous prime is 82308461269. The next prime is 82308461321. The reversal of 82308461301 is 10316480328.

82308461301 is a `hidden beast` number, since 8 + 2 + 30 + 8 + 4 + 613 + 0 + 1 = 666.

It is not a de Polignac number, because 82308461301 - 25 = 82308461269 is a prime.

It is a super-2 number, since 2×823084613012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82308461321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21877030 + ... + 21880791.

It is an arithmetic number, because the mean of its divisors is an integer number (5688516860).

Almost surely, 282308461301 is an apocalyptic number.

It is an amenable number.

82308461301 is a deficient number, since it is larger than the sum of its proper divisors (54215943339).

82308461301 is a wasteful number, since it uses less digits than its factorization.

82308461301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43757857 (or 43757854 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 82308461301 in words is "eighty-two billion, three hundred eight million, four hundred sixty-one thousand, three hundred one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 43757821 131273463 393820389 481336031 831398599 1444008093 2494195797 4332024279 7482587391 9145384589 27436153767 82308461301