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203142221200 = 2452507855553
BaseRepresentation
bin1011110100110000111…
…0000100110110010000
3201102100022221001122101
42331030032010312100
511312013402034300
6233153334450144
720451024250522
oct2751416046620
9642308831571
10203142221200
1179174540526
1233453b03954
131620530aa69
149b91549a12
15543e25cb6a
hex2f4c384d90

203142221200 has 30 divisors (see below), whose sum is σ = 488049187394. Its totient is φ = 81256888320.

The previous prime is 203142221197. The next prime is 203142221213. The reversal of 203142221200 is 2122241302.

203142221200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 325297296 + 202816923904 = 18036^2 + 450352^2 .

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, 253927377 + ... + 253928176.

Almost surely, 2203142221200 is an apocalyptic number.

203142221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203142221200 is an abundant number, since it is smaller than the sum of its proper divisors (284906966194).

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

203142221200 is a wasteful number, since it uses less digits than its factorization.

203142221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507855571 (or 507855560 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 203142221200 its reverse (2122241302), we get a palindrome (205264462502).

The spelling of 203142221200 in words is "two hundred three billion, one hundred forty-two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 507855553 1015711106 2031422212 2539277765 4062844424 5078555530 8125688848 10157111060 12696388825 20314222120 25392777650 40628444240 50785555300 101571110600 203142221200