Search a number
-
+
3131313130 = 25111716310273
BaseRepresentation
bin1011101010100100…
…0000101111101010
322002020010012002101
42322221000233222
522403104010010
61234414524014
7140411502541
oct27251005752
98066105071
103131313130
1113675a99a0
1273480660a
133ab96c90a
14219c29158
15134d8173a
hexbaa40bea

3131313130 has 64 divisors (see below), whose sum is σ = 6551031168. Its totient is φ = 1065000960.

The previous prime is 3131313121. The next prime is 3131313169. The reversal of 3131313130 is 313131313.

It is a happy number.

3131313130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31313131302 = 19610243836220793800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3131313098 and 3131313107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299674 + ... + 309946.

It is an arithmetic number, because the mean of its divisors is an integer number (102359862).

Almost surely, 23131313130 is an apocalyptic number.

3131313130 is an abundant number, since it is smaller than the sum of its proper divisors (3419718038).

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

3131313130 is a wasteful number, since it uses less digits than its factorization.

3131313130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10471.

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 3131313130 is about 55958.1372992347. The cubic root of 3131313130 is about 1462.9927244271.

Adding to 3131313130 its reverse (313131313), we get a palindrome (3444444443).

The spelling of 3131313130 in words is "three billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 163 170 187 326 374 815 935 1630 1793 1870 2771 3586 5542 8965 10273 13855 17930 20546 27710 30481 51365 60962 102730 113003 152405 174641 226006 304810 349282 565015 873205 1130030 1674499 1746410 1921051 3348998 3842102 8372495 9605255 16744990 18419489 19210510 28466483 36838978 56932966 92097445 142332415 184194890 284664830 313131313 626262626 1565656565 3131313130