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203331504100 = 225210639191119
BaseRepresentation
bin1011110101011110000…
…0001000011111100100
3201102211112002121222011
42331113200020133210
511312410331112400
6233224215444004
720455513160644
oct2752740103744
9642745077864
10203331504100
117926137357a
12334a7386604
13162355b1c8a
149bac73c524
155450b9b8ba
hex2f578087e4

203331504100 has 36 divisors (see below), whose sum is σ = 441273145600. Its totient is φ = 81324531360.

The previous prime is 203331504091. The next prime is 203331504137. The reversal of 203331504100 is 1405133302.

203331504100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 968341 + ... + 1159459.

Almost surely, 2203331504100 is an apocalyptic number.

203331504100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203331504100 is an abundant number, since it is smaller than the sum of its proper divisors (237941641500).

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

203331504100 is a wasteful number, since it uses less digits than its factorization.

203331504100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201772 (or 201765 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 203331504100 its reverse (1405133302), we get a palindrome (204736637402).

The spelling of 203331504100 in words is "two hundred three billion, three hundred thirty-one million, five hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10639 21278 42556 53195 106390 191119 212780 265975 382238 531950 764476 955595 1063900 1911190 3822380 4777975 9555950 19111900 2033315041 4066630082 8133260164 10166575205 20333150410 40666300820 50832876025 101665752050 203331504100