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1031133313 = 7241513257
BaseRepresentation
bin111101011101011…
…101100010000001
32122212020222222201
4331131131202001
54102432231223
6250152433201
734360326400
oct7535354201
92585228881
101031133313
1148a0587a1
122493a8801
1313581ac72
149ad33637
15607d0ead
hex3d75d881

1031133313 has 12 divisors (see below), whose sum is σ = 1228739652. Its totient is φ = 862270080.

The previous prime is 1031133293. The next prime is 1031133361. The reversal of 1031133313 is 3133311301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 246741264 + 784392049 = 15708^2 + 28007^2 .

It is not a de Polignac number, because 1031133313 - 25 = 1031133281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1031133613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254620 + ... + 258637.

It is an arithmetic number, because the mean of its divisors is an integer number (102394971).

Almost surely, 21031133313 is an apocalyptic number.

It is an amenable number.

1031133313 is a deficient number, since it is larger than the sum of its proper divisors (197606339).

1031133313 is an equidigital number, since it uses as much as digits as its factorization.

1031133313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513312 (or 513305 counting only the distinct ones).

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

The square root of 1031133313 is about 32111.2645811404. The cubic root of 1031133313 is about 1010.2718978455.

Adding to 1031133313 its reverse (3133311301), we get a palindrome (4164444614).

The spelling of 1031133313 in words is "one billion, thirty-one million, one hundred thirty-three thousand, three hundred thirteen".

Divisors: 1 7 41 49 287 2009 513257 3592799 21043537 25149593 147304759 1031133313