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331143341133 = 31123436288987
BaseRepresentation
bin1001101000110011010…
…11100110010001001101
31011122201221121200022010
410310121223212101031
520411140143404013
6412043011011433
732632016646303
oct4643153462115
91148657550263
10331143341133
11118489868460
1254217299b79
13252c403ac07
141205536c273
1589318807c3
hex4d19ae644d

331143341133 has 16 divisors (see below), whose sum is σ = 502604914176. Its totient is φ = 191967153840.

The previous prime is 331143341101. The next prime is 331143341159.

331143341133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331143341133 - 25 = 331143341101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331143341133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331143341183) 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 15 ways as a sum of consecutive naturals, for example, 218143735 + ... + 218145252.

It is an arithmetic number, because the mean of its divisors is an integer number (31412807136).

Almost surely, 2331143341133 is an apocalyptic number.

331143341133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331143341133 is a deficient number, since it is larger than the sum of its proper divisors (171461573043).

331143341133 is a wasteful number, since it uses less digits than its factorization.

331143341133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436289024.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 331143 and 341133, that added together give a palindrome (672276).

The spelling of 331143341133 in words is "three hundred thirty-one billion, one hundred forty-three million, three hundred forty-one thousand, one hundred thirty-three".

Divisors: 1 3 11 23 33 69 253 759 436288987 1308866961 4799178857 10034646701 14397536571 30103940103 110381113711 331143341133