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332301323103233 = 11289101305516957
BaseRepresentation
bin100101110001110011110111…
…0010100100110110000000001
31121120120200210120001211110212
41023203213232110212300001
5322023411102203300413
63134425042000203505
7126664656364612601
oct11343475624466001
91546520716054425
10332301323103233
11969772218a5700
123132a280909595
1311355b5a070a43
145c0b6813cac01
152863dc0029ca8
hex12e39ee526c01

332301323103233 has 24 divisors (see below), whose sum is σ = 373017874700520. Its totient is φ = 295740413408000.

The previous prime is 332301323103221. The next prime is 332301323103307.

It is a happy number.

332301323103233 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 193175334955009 + 139125988148224 = 13898753^2 + 11795168^2 .

It is not a de Polignac number, because 332301323103233 - 234 = 332284143234049 is a prime.

It is a super-2 number, since 2×3323013231032332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 332301323103233.

It is not an unprimeable number, because it can be changed into a prime (332301325103233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151670810 + ... + 153846147.

It is an arithmetic number, because the mean of its divisors is an integer number (15542411445855).

Almost surely, 2332301323103233 is an apocalyptic number.

It is an amenable number.

332301323103233 is a deficient number, since it is larger than the sum of its proper divisors (40716551597287).

332301323103233 is a wasteful number, since it uses less digits than its factorization.

332301323103233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305517169 (or 305517158 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 32.

The spelling of 332301323103233 in words is "three hundred thirty-two trillion, three hundred one billion, three hundred twenty-three million, one hundred three thousand, two hundred thirty-three".

Divisors: 1 11 89 101 121 979 1111 8989 10769 12221 98879 1087669 305516957 3360686527 27191009173 30857212657 36967551797 299101100903 339429339227 2746291926473 3290112109933 3733722731497 30209211191203 332301323103233