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331342222243133 = 1815197735219809
BaseRepresentation
bin100101101010110101001111…
…1011101001011010100111101
31121110012000012011120222120002
41023111222133131023110331
5321412202332343240013
63132412303204204045
7126535454103041513
oct11325523735132475
91543160164528502
10331342222243133
11966374a1422982
12311b4413999625
13112b658c20c7ca
145bb7098b264b3
152848e891a7358
hex12d5a9f74b53d

331342222243133 has 8 divisors (see below), whose sum is σ = 333179261720760. Its totient is φ = 329505253309440.

The previous prime is 331342222243061. The next prime is 331342222243141.

331342222243133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 4083883223044 + 327258339020089 = 2020862^2 + 18090283^2 .

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 331342222243133 - 220 = 331342221194557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331342222243163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8202068 + ... + 27017741.

It is an arithmetic number, because the mean of its divisors is an integer number (41647407715095).

Almost surely, 2331342222243133 is an apocalyptic number.

It is an amenable number.

331342222243133 is a deficient number, since it is larger than the sum of its proper divisors (1837039477627).

331342222243133 is a wasteful number, since it uses less digits than its factorization.

331342222243133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35271967.

The product of its digits is 373248, while the sum is 38.

The spelling of 331342222243133 in words is "three hundred thirty-one trillion, three hundred forty-two billion, two hundred twenty-two million, two hundred forty-three thousand, one hundred thirty-three".

Divisors: 1 181 51977 9407837 35219809 6374785429 1830620012393 331342222243133