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1030312031 = 71923932413
BaseRepresentation
bin111101011010010…
…101000001011111
32122210201021101212
4331122111001133
54102224441111
6250123055035
734350336110
oct7532250137
92583637355
101030312031
11489647751
1224907147b
131355c11b8
149ab9c207
15606bc98b
hex3d69505f

1030312031 has 16 divisors (see below), whose sum is σ = 1244697600. Its totient is φ = 833118048.

The previous prime is 1030311973. The next prime is 1030312033. The reversal of 1030312031 is 1302130301.

It is not a de Polignac number, because 1030312031 - 226 = 963203167 is a prime.

It is a super-2 number, since 2×10303120312 = 2123085762446689922, which contains 22 as substring.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1030311997 and 1030312015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030312033) 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 15 ways as a sum of consecutive naturals, for example, 15581 + ... + 47993.

It is an arithmetic number, because the mean of its divisors is an integer number (77793600).

Almost surely, 21030312031 is an apocalyptic number.

1030312031 is a deficient number, since it is larger than the sum of its proper divisors (214385569).

1030312031 is a wasteful number, since it uses less digits than its factorization.

1030312031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32678.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1030312031 is about 32098.4739668415. The cubic root of 1030312031 is about 1010.0036045357.

Adding to 1030312031 its reverse (1302130301), we get a palindrome (2332442332).

The spelling of 1030312031 in words is "one billion, thirty million, three hundred twelve thousand, thirty-one".

Divisors: 1 7 19 133 239 1673 4541 31787 32413 226891 615847 4310929 7746707 54226949 147187433 1030312031