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332311311011233 = 5340915330133829
BaseRepresentation
bin100101110001111000100000…
…1101001011100110110100001
31121120121122120122002010111101
41023203301001221130312201
5322024042031104324413
63134433413031514401
7126665462034463111
oct11343610151346641
91546548518063441
10332311311011233
1196980487800824
12313301a9828a01
1311356a8c3b6388
145c0bd4bac3041
1528642a6ce9edd
hex12e3c41a5cda1

332311311011233 has 8 divisors (see below), whose sum is σ = 339409162996200. Its totient is φ = 325244119294848.

The previous prime is 332311311011179. The next prime is 332311311011263. The reversal of 332311311011233 is 332110113113233.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53402873906529 + 278908437104704 = 7307727^2 + 16700552^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-332311311011233 is a prime.

It is a super-2 number, since 2×3323113110112332 (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 (332311311011263) 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, 7665045238 + ... + 7665088591.

It is an arithmetic number, because the mean of its divisors is an integer number (42426145374525).

Almost surely, 2332311311011233 is an apocalyptic number.

It is an amenable number.

332311311011233 is a deficient number, since it is larger than the sum of its proper divisors (7097851984967).

332311311011233 is a wasteful number, since it uses less digits than its factorization.

332311311011233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15330134291.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 332311311011233 its reverse (332110113113233), we get a palindrome (664421424124466).

The spelling of 332311311011233 in words is "three hundred thirty-two trillion, three hundred eleven billion, three hundred eleven million, eleven thousand, two hundred thirty-three".

Divisors: 1 53 409 21677 15330133829 812497092937 6270024736061 332311311011233