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2100218020 = 225105010901
BaseRepresentation
bin111110100101110…
…1100100010100100
312102100221010111121
41331023230202210
513300123434040
6544222543324
7103021362415
oct17513544244
95370833447
102100218020
1198857797a
124a7437b44
13276166174
1415cd0580c
15c45abc4a
hex7d2ec8a4

2100218020 has 12 divisors (see below), whose sum is σ = 4410457884. Its totient is φ = 840087200.

The previous prime is 2100218011. The next prime is 2100218033. The reversal of 2100218020 is 208120012.

It can be written as a sum of positive squares in 2 ways, for example, as 1462756516 + 637461504 = 38246^2 + 25248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2100217985 and 2100218003.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52505431 + ... + 52505470.

It is an arithmetic number, because the mean of its divisors is an integer number (367538157).

Almost surely, 22100218020 is an apocalyptic number.

2100218020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100218020 is an abundant number, since it is smaller than the sum of its proper divisors (2310239864).

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

2100218020 is a wasteful number, since it uses less digits than its factorization.

2100218020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105010910 (or 105010908 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2100218020 is about 45828.1356810421. The cubic root of 2100218020 is about 1280.6234796237.

Adding to 2100218020 its reverse (208120012), we get a palindrome (2308338032).

The spelling of 2100218020 in words is "two billion, one hundred million, two hundred eighteen thousand, twenty".

Divisors: 1 2 4 5 10 20 105010901 210021802 420043604 525054505 1050109010 2100218020