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1331114120343 = 32759358115179
BaseRepresentation
bin10011010111101100100…
…101011001010010010111
311201020211122001112101200
4103113230211121102113
5133302110203322333
62455301055123543
7165112151223450
oct23275445312227
94636748045350
101331114120343
11473582245337
12195b8b5135b3
13986a6245337
14485d796a127
152495a773c13
hex135ec959497

1331114120343 has 24 divisors (see below), whose sum is σ = 2234638723200. Its totient is φ = 747744491664.

The previous prime is 1331114120339. The next prime is 1331114120383. The reversal of 1331114120343 is 3430214111331.

1331114120343 is a `hidden beast` number, since 1 + 3 + 311 + 1 + 4 + 1 + 2 + 0 + 343 = 666.

It is not a de Polignac number, because 1331114120343 - 22 = 1331114120339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331114120383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179053873 + ... + 179061306.

It is an arithmetic number, because the mean of its divisors is an integer number (93109946800).

Almost surely, 21331114120343 is an apocalyptic number.

1331114120343 is a deficient number, since it is larger than the sum of its proper divisors (903524602857).

1331114120343 is a wasteful number, since it uses less digits than its factorization.

1331114120343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358115251 (or 358115248 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1331114120343 its reverse (3430214111331), we get a palindrome (4761328231674).

The spelling of 1331114120343 in words is "one trillion, three hundred thirty-one billion, one hundred fourteen million, one hundred twenty thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 59 63 177 413 531 1239 3717 358115179 1074345537 2506806253 3223036611 7520418759 21128795561 22561256277 63386386683 147901568927 190159160049 443704706781 1331114120343