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201201323121 = 32269352723563
BaseRepresentation
bin1011101101100010001…
…0001000110001110001
3201020100001210020000100
42323120202020301301
511244030014314441
6232233002343013
720351646012531
oct2733042106161
9636301706010
10201201323121
11783689a1027
1232bb1abaa69
1315c86187966
149a498774c1
155378b71cb6
hex2ed8888c71

201201323121 has 24 divisors (see below), whose sum is σ = 291799609920. Its totient is φ = 133592016096.

The previous prime is 201201323093. The next prime is 201201323131. The reversal of 201201323121 is 121323102102.

201201323121 is a `hidden beast` number, since 20 + 1 + 201 + 323 + 121 = 666.

It is a de Polignac number, because none of the positive numbers 2k-201201323121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201201323094 and 201201323103.

It is not an unprimeable number, because it can be changed into a prime (201201323131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8527086 + ... + 8550648.

It is an arithmetic number, because the mean of its divisors is an integer number (12158317080).

Almost surely, 2201201323121 is an apocalyptic number.

It is an amenable number.

201201323121 is a deficient number, since it is larger than the sum of its proper divisors (90598286799).

201201323121 is a wasteful number, since it uses less digits than its factorization.

201201323121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27365 (or 27362 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201201323121 its reverse (121323102102), we get a palindrome (322524425223).

The spelling of 201201323121 in words is "two hundred one billion, two hundred one million, three hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 269 807 2421 3527 10581 23563 31743 70689 212067 948763 2846289 6338447 8538867 19015341 57046023 83106701 249320103 747960309 22355702569 67067107707 201201323121