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331334252353 = 1330893825017
BaseRepresentation
bin1001101001001010000…
…11110111011101000001
31011200020020211222021001
410310211003313131001
520412033032033403
6412113550532001
732636525450626
oct4644503673501
91150206758231
10331334252353
11118577602925
125426b207001
1325324762330
141207286634d
1589434e1c1d
hex4d250f7741

331334252353 has 8 divisors (see below), whose sum is σ = 356833485288. Its totient is φ = 305836731264.

The previous prime is 331334252317. The next prime is 331334252371. The reversal of 331334252353 is 353252433133.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42114017089 + 289220235264 = 205217^2 + 537792^2 .

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 331334252353 - 217 = 331334121281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331334253353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10900 + ... + 814117.

It is an arithmetic number, because the mean of its divisors is an integer number (44604185661).

Almost surely, 2331334252353 is an apocalyptic number.

It is an amenable number.

331334252353 is a deficient number, since it is larger than the sum of its proper divisors (25499232935).

331334252353 is a wasteful number, since it uses less digits than its factorization.

331334252353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855923.

The product of its digits is 291600, while the sum is 37.

Adding to 331334252353 its reverse (353252433133), we get a palindrome (684586685486).

The spelling of 331334252353 in words is "three hundred thirty-one billion, three hundred thirty-four million, two hundred fifty-two thousand, three hundred fifty-three".

Divisors: 1 13 30893 401609 825017 10725221 25487250181 331334252353