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133300122101 = 1717355781373
BaseRepresentation
bin111110000100101001…
…1100111000111110101
3110202001220200211002022
41330021103213013311
54140444312401401
6141123124122525
712426205225406
oct1741123470765
9422056624068
10133300122101
1151594497773
1221a01b36445
13c7547ca5c3
1466478b79ad
15370293c71b
hex1f094e71f5

133300122101 has 16 divisors (see below), whose sum is σ = 142213759344. Its totient is φ = 124508273664.

The previous prime is 133300122097. The next prime is 133300122127. The reversal of 133300122101 is 101221003331.

It can be written as a sum of positive squares in 8 ways, for example, as 18970930225 + 114329191876 = 137735^2 + 338126^2 .

It is a cyclic number.

It is not a de Polignac number, because 133300122101 - 22 = 133300122097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 133300122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133300122191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1597451 + ... + 1678823.

It is an arithmetic number, because the mean of its divisors is an integer number (8888359959).

Almost surely, 2133300122101 is an apocalyptic number.

It is an amenable number.

133300122101 is a deficient number, since it is larger than the sum of its proper divisors (8913637243).

133300122101 is a wasteful number, since it uses less digits than its factorization.

133300122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82120.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 133300122101 its reverse (101221003331), we get a palindrome (234521125432).

The spelling of 133300122101 in words is "one hundred thirty-three billion, three hundred million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 17 173 557 2941 9469 81373 96361 1383341 1638137 14077529 45324761 239317993 770520937 7841183653 133300122101