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1031000020 = 225176745259
BaseRepresentation
bin111101011100111…
…100111111010100
32122212000020010221
4331130330333110
54102414000040
6250145524124
734356232651
oct7534747724
92585006127
101031000020
11489a77636
12249343644
131357a23ab
149acdac28
15607a674a
hex3d73cfd4

1031000020 has 48 divisors (see below), whose sum is σ = 2326726080. Its totient is φ = 382339584.

The previous prime is 1030999993. The next prime is 1031000023. The reversal of 1031000020 is 200001301.

It is a super-2 number, since 2×10310000202 = 2125922082480000800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030999967 and 1031000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031000023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151 + ... + 45409.

It is an arithmetic number, because the mean of its divisors is an integer number (48473460).

Almost surely, 21031000020 is an apocalyptic number.

1031000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163363040).

1031000020 is an abundant number, since it is smaller than the sum of its proper divisors (1295726060).

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

1031000020 is a wasteful number, since it uses less digits than its factorization.

1031000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45352 (or 45350 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1031000020 is about 32109.1890274420. The cubic root of 1031000020 is about 1010.2283638772.

Adding to 1031000020 its reverse (200001301), we get a palindrome (1231001321).

The spelling of 1031000020 in words is "one billion, thirty-one million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 170 268 335 340 670 1139 1340 2278 4556 5695 11390 22780 45259 90518 181036 226295 452590 769403 905180 1538806 3032353 3077612 3847015 6064706 7694030 12129412 15161765 15388060 30323530 51550001 60647060 103100002 206200004 257750005 515500010 1031000020