Search a number
-
+
3113131122 = 2321031679143
BaseRepresentation
bin1011100110001110…
…1001110001110010
322000221220110001200
42321203221301302
522333430143442
61232525112030
7140101115013
oct27143516162
98027813050
103113131122
111358310542
1272a6b8616
133a7c74b2a
1421765500a
1513348e34c
hexb98e9c72

3113131122 has 24 divisors (see below), whose sum is σ = 6810608064. Its totient is φ = 1027634904.

The previous prime is 3113131097. The next prime is 3113131127. The reversal of 3113131122 is 2211313113.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 3113131095 and 3113131104.

It is not an unprimeable number, because it can be changed into a prime (3113131127) 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, 837718 + ... + 841425.

It is an arithmetic number, because the mean of its divisors is an integer number (283775336).

Almost surely, 23113131122 is an apocalyptic number.

3113131122 is an abundant number, since it is smaller than the sum of its proper divisors (3697476942).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3113131122 is a wasteful number, since it uses less digits than its factorization.

3113131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679254 (or 1679251 counting only the distinct ones).

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

The square root of 3113131122 is about 55795.4399749657. The cubic root of 3113131122 is about 1460.1555976659.

Adding to 3113131122 its reverse (2211313113), we get a palindrome (5324444235).

The spelling of 3113131122 in words is "three billion, one hundred thirteen million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 103 206 309 618 927 1854 1679143 3358286 5037429 10074858 15112287 30224574 172951729 345903458 518855187 1037710374 1556565561 3113131122