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1133131131 = 321147243527
BaseRepresentation
bin100001110001010…
…0011010101111011
32220222012000200200
41003202203111323
54310040144011
6304234533243
740036312206
oct10342432573
92828160620
101133131131
11531694210
12277597223
131509b0bc2
14aa6c493d
156972c856
hex438a357b

1133131131 has 24 divisors (see below), whose sum is σ = 1823537664. Its totient is φ = 672131760.

The previous prime is 1133131093. The next prime is 1133131157. The reversal of 1133131131 is 1311313311.

1133131131 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-1133131131 is a prime.

It is a super-2 number, since 2×11331311312 = 2567972320082678322, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1133131931) 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, 117111 + ... + 126416.

It is an arithmetic number, because the mean of its divisors is an integer number (75980736).

Almost surely, 21133131131 is an apocalyptic number.

1133131131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1133131131 is a deficient number, since it is larger than the sum of its proper divisors (690406533).

1133131131 is a wasteful number, since it uses less digits than its factorization.

1133131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243591 (or 243588 counting only the distinct ones).

The product of its digits is 81, while the sum is 18.

The square root of 1133131131 is about 33662.0131750910. The cubic root of 1133131131 is about 1042.5415928060.

Adding to 1133131131 its reverse (1311313311), we get a palindrome (2444444442).

The spelling of 1133131131 in words is "one billion, one hundred thirty-three million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 47 99 141 423 517 1551 4653 243527 730581 2191743 2678797 8036391 11445769 24109173 34337307 103011921 125903459 377710377 1133131131