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20020011400 = 2352100100057
BaseRepresentation
bin10010101001010010…
…010010000110001000
31220200020011221201201
4102221102102012020
5312000110331100
613110322153544
71306054201114
oct225122220610
956606157651
1020020011400
118543857974
123a687b28b4
131b708932bc
14d7cc14744
157c28c036a
hex4a9492188

20020011400 has 24 divisors (see below), whose sum is σ = 46546526970. Its totient is φ = 8008004480.

The previous prime is 20020011391. The next prime is 20020011413. The reversal of 20020011400 is 411002002.

It can be written as a sum of positive squares in 3 ways, for example, as 18880408836 + 1139602564 = 137406^2 + 33758^2 .

It is a super-2 number, since 2×200200114002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50049829 + ... + 50050228.

Almost surely, 220020011400 is an apocalyptic number.

20020011400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020011400 is an abundant number, since it is smaller than the sum of its proper divisors (26526515570).

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

20020011400 is a wasteful number, since it uses less digits than its factorization.

20020011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100100073 (or 100100064 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20020011400 its reverse (411002002), we get a palindrome (20431013402).

It can be divided in two parts, 200200 and 11400, that added together give a square (211600 = 4602).

The spelling of 20020011400 in words is "twenty billion, twenty million, eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 100100057 200200114 400400228 500500285 800800456 1001000570 2002001140 2502501425 4004002280 5005002850 10010005700 20020011400