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332302141203233 = 10123913766193347
BaseRepresentation
bin100101110001110100001111…
…1000101011010001100100001
31121120120202220120110121200212
41023203220133011122030201
5322023414241122000413
63134425255103023505
7126665015560423025
oct11343503705321441
91546522816417625
10332302141203233
1196977601679303
123132a46a89ab95
1311355c5a6c0296
145c0b71bd08385
152863e1bc79ca8
hex12e3a1f15a321

332302141203233 has 8 divisors (see below), whose sum is σ = 336996413159040. Its totient is φ = 327635401634800.

The previous prime is 332302141203199. The next prime is 332302141203257.

332302141203233 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 332302141203233 - 212 = 332302141199137 is a prime.

It is a super-2 number, since 2×3323021412032332 (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 332302141203233.

It is not an unprimeable number, because it can be changed into a prime (332302141203283) 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 7 ways as a sum of consecutive naturals, for example, 6883072535 + ... + 6883120812.

It is an arithmetic number, because the mean of its divisors is an integer number (42124551644880).

Almost surely, 2332302141203233 is an apocalyptic number.

It is an amenable number.

332302141203233 is a deficient number, since it is larger than the sum of its proper divisors (4694271955807).

332302141203233 is a wasteful number, since it uses less digits than its factorization.

332302141203233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13766193687.

The product of its (nonzero) digits is 46656, while the sum is 32.

The spelling of 332302141203233 in words is "three hundred thirty-two trillion, three hundred two billion, one hundred forty-one million, two hundred three thousand, two hundred thirty-three".

Divisors: 1 101 239 24139 13766193347 1390385528047 3290120209933 332302141203233