Search a number
-
+
1031000103 = 33746711681
BaseRepresentation
bin111101011100111…
…101000000100111
32122212000020021000
4331130331000213
54102414000403
6250145524343
734356233130
oct7534750047
92585006230
101031000103
11489a77701
122493436b3
131357a2443
149acdac87
15607a67a3
hex3d73d027

1031000103 has 32 divisors (see below), whose sum is σ = 1749496320. Its totient is φ = 587831040.

The previous prime is 1031000057. The next prime is 1031000107. The reversal of 1031000103 is 3010001301.

It is not a de Polignac number, because 1031000103 - 217 = 1030869031 is a prime.

It is a super-2 number, since 2×10310001032 = 2125922424772021218, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031000107) 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 31 ways as a sum of consecutive naturals, for example, 82423 + ... + 94103.

It is an arithmetic number, because the mean of its divisors is an integer number (54671760).

Almost surely, 21031000103 is an apocalyptic number.

1031000103 is a deficient number, since it is larger than the sum of its proper divisors (718496217).

1031000103 is a wasteful number, since it uses less digits than its factorization.

1031000103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12164 (or 12158 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1031000103 is about 32109.1903199069. The cubic root of 1031000103 is about 1010.2283909865.

Adding to 1031000103 its reverse (3010001301), we get a palindrome (4041001404).

The spelling of 1031000103 in words is "one billion, thirty-one million, one hundred three", and thus it is an aban number.

Divisors: 1 3 7 9 21 27 63 189 467 1401 3269 4203 9807 11681 12609 29421 35043 81767 88263 105129 245301 315387 735903 2207709 5455027 16365081 38185189 49095243 114555567 147285729 343666701 1031000103