Search a number
-
+
31135122 = 2323974357
BaseRepresentation
bin111011011000…
…1010110010010
32011120211100200
41312301112102
530432310442
63031200030
7525433644
oct166612622
964524320
1031135122
1116636307
12a516016
1365b1865
1441c6894
152b0034c
hex1db1592

31135122 has 24 divisors (see below), whose sum is σ = 67644876. Its totient is φ = 10349856.

The previous prime is 31135121. The next prime is 31135147. The reversal of 31135122 is 22153113.

31135122 is a `hidden beast` number, since 311 + 351 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24890121 + 6245001 = 4989^2 + 2499^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 31135095 and 31135104.

It is not an unprimeable number, because it can be changed into a prime (31135121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4968 + ... + 9324.

Almost surely, 231135122 is an apocalyptic number.

31135122 is an abundant number, since it is smaller than the sum of its proper divisors (36509754).

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

31135122 is a wasteful number, since it uses less digits than its factorization.

31135122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762 (or 4759 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 31135122 is about 5579.8854826959. The cubic root of 31135122 is about 314.5938226619.

Adding to 31135122 its reverse (22153113), we get a palindrome (53288235).

Subtracting from 31135122 its reverse (22153113), we obtain a square (8982009 = 29972).

The spelling of 31135122 in words is "thirty-one million, one hundred thirty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 397 794 1191 2382 3573 4357 7146 8714 13071 26142 39213 78426 1729729 3459458 5189187 10378374 15567561 31135122