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1331213131 = 19215124421
BaseRepresentation
bin100111101011000…
…1011001101001011
310102202220122010001
41033112023031023
510211242310011
6340032303431
744663060563
oct11726131513
93382818101
101331213131
11623487146
123119a1b77
13182a461a1
14c8b27da3
157bd087c1
hex4f58b34b

1331213131 has 12 divisors (see below), whose sum is σ = 1414326864. Its totient is φ = 1252746000.

The previous prime is 1331213089. The next prime is 1331213153. The reversal of 1331213131 is 1313121331.

It is not a de Polignac number, because 1331213131 - 27 = 1331213003 is a prime.

It is a super-2 number, since 2×13312131312 = 3544256800293646322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 1331213099 and 1331213108.

It is not an unprimeable number, because it can be changed into a prime (1331213171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42301 + ... + 66721.

It is an arithmetic number, because the mean of its divisors is an integer number (117860572).

Almost surely, 21331213131 is an apocalyptic number.

1331213131 is a deficient number, since it is larger than the sum of its proper divisors (83113733).

1331213131 is a wasteful number, since it uses less digits than its factorization.

1331213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24610 (or 24591 counting only the distinct ones).

The product of its digits is 162, while the sum is 19.

The square root of 1331213131 is about 36485.7935503670. The cubic root of 1331213131 is about 1100.0587106405.

Adding to 1331213131 its reverse (1313121331), we get a palindrome (2644334462).

The spelling of 1331213131 in words is "one billion, three hundred thirty-one million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 19 151 361 2869 24421 54511 463999 3687571 8815981 70063849 1331213131