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201013121331 = 32113761899617
BaseRepresentation
bin1011101100110101010…
…0001101000100110011
3201012211221122120200200
42323031110031010303
511243133324340311
6232202200450243
720344202224341
oct2731524150463
9635757576620
10201013121331
1178281737260
1232b5aa79983
1315c561a1859
149a2c886991
155367398556
hex2ecd50d133

201013121331 has 48 divisors (see below), whose sum is σ = 330642001248. Its totient is φ = 116590233600.

The previous prime is 201013121327. The next prime is 201013121377. The reversal of 201013121331 is 133121310102.

201013121331 is a `hidden beast` number, since 20 + 1 + 0 + 1 + 312 + 1 + 331 = 666.

201013121331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201013121331 - 22 = 201013121327 is a prime.

It is a super-2 number, since 2×2010131213312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201013121531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226366 + ... + 673251.

It is an arithmetic number, because the mean of its divisors is an integer number (6888375026).

Almost surely, 2201013121331 is an apocalyptic number.

201013121331 is a deficient number, since it is larger than the sum of its proper divisors (129628879917).

201013121331 is a wasteful number, since it uses less digits than its factorization.

201013121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899732 (or 899729 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 201013121331 its reverse (133121310102), we get a palindrome (334134431433).

The spelling of 201013121331 in words is "two hundred one billion, thirteen million, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 37 61 99 111 183 333 407 549 671 1221 2013 2257 3663 6039 6771 20313 24827 74481 223443 899617 2698851 8096553 9895787 29687361 33285829 54876637 89062083 99857487 164629911 299572461 366144119 493889733 603643007 1098432357 1810929021 2030435569 3295297071 5432787063 6091306707 18273920121 22334791259 67004373777 201013121331