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133221222120201 = 3319798519149899
BaseRepresentation
bin11110010010100111111011…
…100111101111101100001001
3122110200211021000201122201020
4132102213323213233230021
5114430144030330321301
61151200552355143053
740026626035024245
oct3622477347575411
9573624230648636
10133221222120201
11394a28918a9116
1212b371b98a4a89
135944927049817
1424c7d278a9425
1510605ca437436
hex7929fb9efb09

133221222120201 has 32 divisors (see below), whose sum is σ = 185251648512000. Its totient is φ = 85061670704640.

The previous prime is 133221222120187. The next prime is 133221222120227. The reversal of 133221222120201 is 102021222122331.

It is not a de Polignac number, because 133221222120201 - 214 = 133221222103817 is a prime.

It is a super-3 number, since 3×1332212221202013 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (133221222120251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 888664950 + ... + 888814848.

It is an arithmetic number, because the mean of its divisors is an integer number (5789114016000).

Almost surely, 2133221222120201 is an apocalyptic number.

It is an amenable number.

133221222120201 is a deficient number, since it is larger than the sum of its proper divisors (52030426391799).

133221222120201 is a wasteful number, since it uses less digits than its factorization.

133221222120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248549.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 133221222120201 its reverse (102021222122331), we get a palindrome (235242444242532).

The spelling of 133221222120201 in words is "one hundred thirty-three trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty thousand, two hundred one".

Divisors: 1 3 31 93 97 291 3007 9021 98519 149899 295557 449697 3054089 4646869 9162267 9556343 13940607 14540203 28669029 43620609 296246633 450746293 888739899 1352238879 14767899581 44303698743 457804887011 1373414661033 1432486259357 4297458778071 44407074040067 133221222120201