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1031031313 = 13253591951
BaseRepresentation
bin111101011101000…
…100101000010001
32122212001211001221
4331131010220101
54102421000223
6250150325041
734356423124
oct7535045021
92585054057
101031031313
11489a990a4
12249359781
131357b3700
149ad083bb
15607b0b5d
hex3d744a11

1031031313 has 24 divisors (see below), whose sum is σ = 1157379840. Its totient is φ = 917467200.

The previous prime is 1031031311. The next prime is 1031031361. The reversal of 1031031313 is 3131301301.

It is not a de Polignac number, because 1031031313 - 21 = 1031031311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1031031311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527488 + ... + 529438.

It is an arithmetic number, because the mean of its divisors is an integer number (48224160).

Almost surely, 21031031313 is an apocalyptic number.

1031031313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1031031313 is a deficient number, since it is larger than the sum of its proper divisors (126348527).

1031031313 is a wasteful number, since it uses less digits than its factorization.

1031031313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 1031031313 is about 32109.6763141580. The cubic root of 1031031313 is about 1010.2385846194.

Adding to 1031031313 its reverse (3131301301), we get a palindrome (4162332614).

The spelling of 1031031313 in words is "one billion, thirty-one million, thirty-one thousand, three hundred thirteen".

Divisors: 1 13 53 59 169 689 767 1951 3127 8957 9971 25363 40651 103403 115109 329719 528463 1344239 1496417 6100777 17475107 19453421 79310101 1031031313