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2020020100 = 225272412249
BaseRepresentation
bin111100001100111…
…0000111110000100
312012210000122122021
41320121300332010
513114111120400
6532240012524
7101025613300
oct17031607604
95183018567
102020020100
11947280aaa
12484601144
13262666987
141523cad00
15bc51971a
hex78670f84

2020020100 has 54 divisors (see below), whose sum is σ = 5099120250. Its totient is φ = 692576640.

The previous prime is 2020020091. The next prime is 2020020127. The reversal of 2020020100 is 10200202.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 17994564 + 2002025536 = 4242^2 + 44744^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 201225 + ... + 211024.

Almost surely, 22020020100 is an apocalyptic number.

2020020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2020020100 is an abundant number, since it is smaller than the sum of its proper divisors (3079100150).

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

2020020100 is a wasteful number, since it uses less digits than its factorization.

2020020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412277 (or 412263 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2020020100 is about 44944.6337174974. The cubic root of 2020020100 is about 1264.1110576791. Note that the first 3 decimals are identical.

Adding to 2020020100 its reverse (10200202), we get a palindrome (2030220302).

The spelling of 2020020100 in words is "two billion, twenty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 412249 824498 1648996 2061245 2885743 4122490 5771486 8244980 10306225 11542972 14428715 20200201 20612450 28857430 40400402 41224900 57714860 72143575 80800804 101001005 144287150 202002010 288574300 404004020 505005025 1010010050 2020020100