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1331441331 = 31140346707
BaseRepresentation
bin100111101011100…
…0010111010110011
310102210100020010220
41033113002322303
510211322110311
6340041224123
744665031103
oct11727027263
93383306126
101331441331
11623622640
12311a92043
13182ac600c
14c8b87203
157bd51206
hex4f5c2eb3

1331441331 has 8 divisors (see below), whose sum is σ = 1936641984. Its totient is φ = 806934120.

The previous prime is 1331441323. The next prime is 1331441341.

1331441331 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 1331441331 - 23 = 1331441323 is a prime.

It is a super-2 number, since 2×13314413312 = 3545472035790103122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1331441341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20173321 + ... + 20173386.

It is an arithmetic number, because the mean of its divisors is an integer number (242080248).

Almost surely, 21331441331 is an apocalyptic number.

1331441331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1331441331 is a deficient number, since it is larger than the sum of its proper divisors (605200653).

1331441331 is a wasteful number, since it uses less digits than its factorization.

1331441331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40346721.

The product of its digits is 1296, while the sum is 24.

The square root of 1331441331 is about 36488.9206609349. The cubic root of 1331441331 is about 1100.1215653527.

It can be divided in two parts, 13314 and 41331, that added together give a palindrome (54645).

The spelling of 1331441331 in words is "one billion, three hundred thirty-one million, four hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 11 33 40346707 121040121 443813777 1331441331