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332323121323233 = 3237997967331301
BaseRepresentation
bin100101110001111110000000…
…1100110001101110011100001
31121120122210001201021010211100
41023203330001212031303201
5322024240223024320413
63134443045003505013
7126666360513461445
oct11343740146156341
91546583051233740
10332323121323233
1196985498382a57
1231332544b28169
1311357c22164481
145c0c74c444825
152864748a9ba73
hex12e3f0198dce1

332323121323233 has 12 divisors (see below), whose sum is σ = 492995861663188. Its totient is φ = 215560943560800.

The previous prime is 332323121323121. The next prime is 332323121323243.

It is a happy number.

332323121323233 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 2 + 312 + 13 + 2 + 323 + 3 = 666.

332323121323233 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 309809880407889 + 22513240915344 = 17601417^2 + 4744812^2 .

It is not a de Polignac number, because 332323121323233 - 225 = 332323087768801 is a prime.

It is a super-2 number, since 2×3323231213232332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332323121323243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498983665318 + ... + 498983665983.

Almost surely, 2332323121323233 is an apocalyptic number.

It is an amenable number.

332323121323233 is a deficient number, since it is larger than the sum of its proper divisors (160672740339955).

332323121323233 is a wasteful number, since it uses less digits than its factorization.

332323121323233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997967331344 (or 997967331341 counting only the distinct ones).

The product of its digits is 209952, while the sum is 36.

The spelling of 332323121323233 in words is "three hundred thirty-two trillion, three hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-three thousand, two hundred thirty-three".

Divisors: 1 3 9 37 111 333 997967331301 2993901993903 8981705981709 36924791258137 110774373774411 332323121323233