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1321312311 = 33114448863
BaseRepresentation
bin100111011000001…
…1010000000110111
310102002021121202000
41032300122000313
510201223443221
6335040150343
744512653324
oct11660320067
93362247660
101321312311
11618934550
1230a6083b3
1318098a807
14c76abb4b
157aeeee26
hex4ec1a037

1321312311 has 16 divisors (see below), whose sum is σ = 2135454720. Its totient is φ = 800795160.

The previous prime is 1321312309. The next prime is 1321312327. The reversal of 1321312311 is 1132131231.

1321312311 is a `hidden beast` number, since 1 + 321 + 31 + 2 + 311 = 666.

It is not a de Polignac number, because 1321312311 - 21 = 1321312309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321310311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2224135 + ... + 2224728.

It is an arithmetic number, because the mean of its divisors is an integer number (133465920).

Almost surely, 21321312311 is an apocalyptic number.

1321312311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1321312311 is a deficient number, since it is larger than the sum of its proper divisors (814142409).

1321312311 is a wasteful number, since it uses less digits than its factorization.

1321312311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448883 (or 4448877 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1321312311 is about 36349.8598484231. The cubic root of 1321312311 is about 1097.3247139212.

Adding to 1321312311 its reverse (1132131231), we get a palindrome (2453443542).

The spelling of 1321312311 in words is "one billion, three hundred twenty-one million, three hundred twelve thousand, three hundred eleven".

Divisors: 1 3 9 11 27 33 99 297 4448863 13346589 40039767 48937493 120119301 146812479 440437437 1321312311