Search a number
-
+
20011000020 = 22351130319697
BaseRepresentation
bin10010101000101111…
…111010000011010100
31220122121020010102220
4102220233322003110
5311440304000040
613105401102340
71305614456634
oct225057720324
956577203386
1020011000020
118539762550
123a657879b0
131b6ba5971b
14d7b94a6c4
157c1be02d0
hex4a8bfa0d4

20011000020 has 48 divisors (see below), whose sum is σ = 61124511168. Its totient is φ = 4851151360.

The previous prime is 20011000019. The next prime is 20011000021. The reversal of 20011000020 is 2000011002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20011000019) and next prime (20011000021).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 20010999972 and 20011000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011000021) 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, 15159189 + ... + 15160508.

It is an arithmetic number, because the mean of its divisors is an integer number (1273427316).

Almost surely, 220011000020 is an apocalyptic number.

20011000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011000020 is an abundant number, since it is smaller than the sum of its proper divisors (41113511148).

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

20011000020 is a wasteful number, since it uses less digits than its factorization.

20011000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30319720 (or 30319718 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20011000020 its reverse (2000011002), we get a palindrome (22011011022).

The spelling of 20011000020 in words is "twenty billion, eleven million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 30319697 60639394 90959091 121278788 151598485 181918182 303196970 333516667 363836364 454795455 606393940 667033334 909590910 1000550001 1334066668 1667583335 1819181820 2001100002 3335166670 4002200004 5002750005 6670333340 10005500010 20011000020