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2042123013200 = 24525105307533
BaseRepresentation
bin11101101101111000000…
…001000100110001010000
321020020002001201122002002
4131231320001010301100
5231424231442410300
64202045515213132
7300352466131514
oct35557001046120
97206061648062
102042123013200
11718072226096
1228b93aa471a8
1311a75740155a
1470ba6db8144
15381c10755d5
hex1db78044c50

2042123013200 has 30 divisors (see below), whose sum is σ = 4906200540174. Its totient is φ = 816849205120.

The previous prime is 2042123013197. The next prime is 2042123013233. The reversal of 2042123013200 is 23103212402.

It can be written as a sum of positive squares in 3 ways, for example, as 17637964864 + 2024485048336 = 132808^2 + 1422844^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2552653367 + ... + 2552654166.

Almost surely, 22042123013200 is an apocalyptic number.

2042123013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042123013200 is an abundant number, since it is smaller than the sum of its proper divisors (2864077526974).

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

2042123013200 is a wasteful number, since it uses less digits than its factorization.

2042123013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105307551 (or 5105307540 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2042123013200 its reverse (23103212402), we get a palindrome (2065226225602).

The spelling of 2042123013200 in words is "two trillion, forty-two billion, one hundred twenty-three million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5105307533 10210615066 20421230132 25526537665 40842460264 51053075330 81684920528 102106150660 127632688325 204212301320 255265376650 408424602640 510530753300 1021061506600 2042123013200