Search a number
-
+
3131010320 = 24539137629
BaseRepresentation
bin1011101010011111…
…0110110100010000
322002012112210201012
42322213312310100
522403014312240
61234404230052
7140406101654
oct27247666420
98065483635
103131010320
111367412439
1273469b328
133ab894b39
14219b8aa64
15134d21b65
hexba9f6d10

3131010320 has 20 divisors (see below), whose sum is σ = 7279599180. Its totient is φ = 1252404096.

The previous prime is 3131010313. The next prime is 3131010331. The reversal of 3131010320 is 230101313.

It can be written as a sum of positive squares in 2 ways, for example, as 702886144 + 2428124176 = 26512^2 + 49276^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 3131010295 and 3131010304.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 19568735 + ... + 19568894.

It is an arithmetic number, because the mean of its divisors is an integer number (363979959).

Almost surely, 23131010320 is an apocalyptic number.

It is an amenable number.

3131010320 is an abundant number, since it is smaller than the sum of its proper divisors (4148588860).

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

3131010320 is a wasteful number, since it uses less digits than its factorization.

3131010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39137642 (or 39137636 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3131010320 is about 55955.4315504760. The cubic root of 3131010320 is about 1462.9455639027.

Adding to 3131010320 its reverse (230101313), we get a palindrome (3361111633).

The spelling of 3131010320 in words is "three billion, one hundred thirty-one million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 39137629 78275258 156550516 195688145 313101032 391376290 626202064 782752580 1565505160 3131010320