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203401204200 = 233252113000669
BaseRepresentation
bin1011110101101110101…
…0000001000111101000
3201110000101020202112100
42331123222001013220
511313031202013300
6233235145413400
720460320465145
oct2753352010750
9643011222470
10203401204200
117929774a267
123350679a260
1316246b7713c
149bb7ac33cc
155456d68700
hex2f5ba811e8

203401204200 has 72 divisors (see below), whose sum is σ = 683089050150. Its totient is φ = 54240320640.

The previous prime is 203401204199. The next prime is 203401204211. The reversal of 203401204200 is 2402104302.

203401204200 is a `hidden beast` number, since 2 + 0 + 340 + 120 + 4 + 200 = 666.

203401204200 is digitally balanced in base 2, 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 189867604644 + 13533599556 = 435738^2 + 116334^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 56498535 + ... + 56502134.

Almost surely, 2203401204200 is an apocalyptic number.

203401204200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203401204200 is an abundant number, since it is smaller than the sum of its proper divisors (479687845950).

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

203401204200 is a wasteful number, since it uses less digits than its factorization.

203401204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113000691 (or 113000679 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 203401204200 its reverse (2402104302), we get a palindrome (205803308502).

The spelling of 203401204200 in words is "two hundred three billion, four hundred one million, two hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 113000669 226001338 339002007 452002676 565003345 678004014 904005352 1017006021 1130006690 1356008028 1695010035 2034012042 2260013380 2712016056 2825016725 3390020070 4068024084 4520026760 5085030105 5650033450 6780040140 8136048168 8475050175 10170060210 11300066900 13560080280 16950100350 20340120420 22600133800 25425150525 33900200700 40680240840 50850301050 67800401400 101700602100 203401204200