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1343113431 = 3113379091
BaseRepresentation
bin101000000001110…
…0100100011010111
310110121022020020220
41100003210203113
510222314112211
6341135325423
745166163412
oct12003444327
93417266226
101343113431
1162a175000
12315980873
1318535199a
14ca544b79
157cda9806
hex500e48d7

1343113431 has 32 divisors (see below), whose sum is σ = 2023224576. Its totient is φ = 791920800.

The previous prime is 1343113411. The next prime is 1343113463.

1343113431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1343113431 - 215 = 1343080663 is a prime.

It is a super-2 number, since 2×13431134312 = 3607907377065183522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343113411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143196 + ... + 152286.

It is an arithmetic number, because the mean of its divisors is an integer number (63225768).

Almost surely, 21343113431 is an apocalyptic number.

1343113431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1343113431 is a deficient number, since it is larger than the sum of its proper divisors (680111145).

1343113431 is an equidigital number, since it uses as much as digits as its factorization.

1343113431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164 (or 9142 counting only the distinct ones).

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

The square root of 1343113431 is about 36648.5119888925. The cubic root of 1343113431 is about 1103.3269607633.

It can be divided in two parts, 13431 and 13431, that added together give a palindrome (26862).

The spelling of 1343113431 in words is "one billion, three hundred forty-three million, one hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 11 33 37 111 121 363 407 1221 1331 3993 4477 9091 13431 27273 49247 100001 147741 300003 336367 1009101 1100011 3300033 3700037 11100111 12100121 36300363 40700407 122101221 447704477 1343113431