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1045310031 = 32491236549
BaseRepresentation
bin111110010011100…
…010101001001111
32200211221020210100
4332103202221033
54120044410111
6251420342143
734621663053
oct7623425117
92624836710
101045310031
11497060997
122520a4953
1313874295c
149cb83c63
1561b81756
hex3e4e2a4f

1045310031 has 12 divisors (see below), whose sum is σ = 1512973800. Its totient is φ = 695451120.

The previous prime is 1045310029. The next prime is 1045310041. The reversal of 1045310031 is 1300135401.

1045310031 is a `hidden beast` number, since 104 + 531 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 1045310031 - 21 = 1045310029 is a prime.

It is a super-3 number, since 3×10453100313 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1045309986 and 1045310013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045310041) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 113856 + ... + 122693.

It is an arithmetic number, because the mean of its divisors is an integer number (126081150).

Almost surely, 21045310031 is an apocalyptic number.

1045310031 is a deficient number, since it is larger than the sum of its proper divisors (467663769).

1045310031 is a wasteful number, since it uses less digits than its factorization.

1045310031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237046 (or 237043 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1045310031 is about 32331.2547080994. The cubic root of 1045310031 is about 1014.8808068598.

Adding to 1045310031 its reverse (1300135401), we get a palindrome (2345445432).

It can be divided in two parts, 104 and 5310031, that added together give a palindrome (5310135).

The spelling of 1045310031 in words is "one billion, forty-five million, three hundred ten thousand, thirty-one".

Divisors: 1 3 9 491 1473 4419 236549 709647 2128941 116145559 348436677 1045310031