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332211343112233 = 13101253017016841
BaseRepresentation
bin100101110001001001111101…
…1000110001011100000101001
31121120021002112200211200112121
41023202103323012023200221
5322020422312314042413
63134315441212511241
7126655322530403404
oct11342237306134051
91546232480750477
10332211343112233
1196942048500682
123131494a77b521
131134a51a436010
145c0718701ad3b
1528618a5801b8d
hex12e24fb18b829

332211343112233 has 8 divisors (see below), whose sum is σ = 361308300050376. Its totient is φ = 303620420208000.

The previous prime is 332211343112219. The next prime is 332211343112261.

332211343112233 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 7570658699289 + 324640684412944 = 2751483^2 + 18017788^2 .

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 332211343112233 - 225 = 332211309557801 is a prime.

It is a super-2 number, since 2×3322113431122332 (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 (332211343112263) 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, 126508507108 + ... + 126508509733.

It is an arithmetic number, because the mean of its divisors is an integer number (45163537506297).

Almost surely, 2332211343112233 is an apocalyptic number.

It is an amenable number.

332211343112233 is a deficient number, since it is larger than the sum of its proper divisors (29096956938143).

332211343112233 is a wasteful number, since it uses less digits than its factorization.

332211343112233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253017016955.

The product of its digits is 46656, while the sum is 34.

The spelling of 332211343112233 in words is "three hundred thirty-two trillion, two hundred eleven billion, three hundred forty-three million, one hundred twelve thousand, two hundred thirty-three".

Divisors: 1 13 101 1313 253017016841 3289221218933 25554718700941 332211343112233