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1031000130 = 2335103131283
BaseRepresentation
bin111101011100111…
…101000001000010
32122212000020022000
4331130331001002
54102414001010
6250145524430
734356233166
oct7534750102
92585006260
101031000130
11489a77726
12249343716
131357a2464
149acdaca6
15607a67c0
hex3d73d042

1031000130 has 128 divisors (see below), whose sum is σ = 2807101440. Its totient is φ = 269231040.

The previous prime is 1031000129. The next prime is 1031000167. The reversal of 1031000130 is 310001301.

1031000130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10310001302 = 2125922536120033800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3642969 + ... + 3643251.

It is an arithmetic number, because the mean of its divisors is an integer number (21930480).

Almost surely, 21031000130 is an apocalyptic number.

1031000130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031000130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403550720).

1031000130 is an abundant number, since it is smaller than the sum of its proper divisors (1776101310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1031000130 is a wasteful number, since it uses less digits than its factorization.

1031000130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

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

The square root of 1031000130 is about 32109.1907403472. The cubic root of 1031000130 is about 1010.2283998051.

Adding to 1031000130 its reverse (310001301), we get a palindrome (1341001431).

The spelling of 1031000130 in words is "one billion, thirty-one million, one hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 103 131 135 206 262 270 283 309 393 515 566 618 655 786 849 927 1030 1179 1310 1415 1545 1698 1854 1965 2358 2547 2781 2830 3090 3537 3930 4245 4635 5094 5562 5895 7074 7641 8490 9270 11790 12735 13493 13905 15282 17685 25470 26986 27810 29149 35370 37073 38205 40479 58298 67465 74146 76410 80958 87447 111219 121437 134930 145745 174894 185365 202395 222438 242874 262341 291490 333657 364311 370730 404790 437235 524682 556095 607185 667314 728622 787023 874470 1000971 1112190 1214370 1311705 1574046 1668285 1821555 2001942 2623410 3336570 3643110 3818519 3935115 5004855 7637038 7870230 10009710 11455557 19092595 22911114 34366671 38185190 57277785 68733342 103100013 114555570 171833355 206200026 343666710 515500065 1031000130