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3131530000 = 2454313153
BaseRepresentation
bin1011101010100111…
…0101101100010000
322002020112012120121
42322221311230100
522403132430000
61234423320024
7140413365034
oct27251655420
98066465517
103131530000
111367737925
127348b0014
133aba17541
14219c841c4
15134dc5b1a
hexbaa75b10

3131530000 has 50 divisors (see below), whose sum is σ = 7581771494. Its totient is φ = 1252608000.

The previous prime is 3131529953. The next prime is 3131530001. The reversal of 3131530000 is 351313.

3131530000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 2322468864 + 809061136 = 48192^2 + 28444^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3131530001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 146577 + ... + 166576.

Almost surely, 23131530000 is an apocalyptic number.

It is an amenable number.

3131530000 is an abundant number, since it is smaller than the sum of its proper divisors (4450241494).

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

3131530000 is an equidigital number, since it uses as much as digits as its factorization.

3131530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313181 (or 313160 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 3131530000 is about 55960.0750535594. The cubic root of 3131530000 is about 1463.0264985334.

Adding to 3131530000 its reverse (351313), we get a palindrome (3131881313).

The spelling of 3131530000 in words is "three billion, one hundred thirty-one million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 313153 626306 1252612 1565765 2505224 3131530 5010448 6263060 7828825 12526120 15657650 25052240 31315300 39144125 62630600 78288250 125261200 156576500 195720625 313153000 391441250 626306000 782882500 1565765000 3131530000