Search a number
-
+
1011031131 = 31130637307
BaseRepresentation
bin111100010000110…
…001110001011011
32121110102200222110
4330100301301123
54032310444011
6244153523403
734024423425
oct7420616133
92543380873
101011031131
11479778720
12242713563
13131600196
14983bd815
155db5eba6
hex3c431c5b

1011031131 has 8 divisors (see below), whose sum is σ = 1470590784. Its totient is φ = 612746120.

The previous prime is 1011031121. The next prime is 1011031163. The reversal of 1011031131 is 1311301101.

1011031131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011031131 - 213 = 1011022939 is a prime.

It is a super-2 number, since 2×10110311312 = 2044367895702278322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1011031111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15318621 + ... + 15318686.

It is an arithmetic number, because the mean of its divisors is an integer number (183823848).

Almost surely, 21011031131 is an apocalyptic number.

1011031131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011031131 is a deficient number, since it is larger than the sum of its proper divisors (459559653).

1011031131 is a wasteful number, since it uses less digits than its factorization.

1011031131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30637321.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 1011031131 is about 31796.7157266281. The cubic root of 1011031131 is about 1003.6636052721.

Adding to 1011031131 its reverse (1311301101), we get a palindrome (2322332232).

The spelling of 1011031131 in words is "one billion, eleven million, thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 11 33 30637307 91911921 337010377 1011031131