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204200202401 = 131311672273163
BaseRepresentation
bin1011111000101101000…
…1111101000010100001
3201112002001201002000022
42332023101331002201
511321200222434101
6233450331003225
720516162040026
oct2761321750241
9645061632008
10204200202401
1179667766458
12336aa299515
1316343569040
149c51c6b54d
1554a2093a1b
hex2f8b47d0a1

204200202401 has 32 divisors (see below), whose sum is σ = 223966245888. Its totient is φ = 185055923520.

The previous prime is 204200202397. The next prime is 204200202403. The reversal of 204200202401 is 104202002402.

It is a happy number.

204200202401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 204200202401 - 22 = 204200202397 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 204200202401.

It is not an unprimeable number, because it can be changed into a prime (204200202403) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 64557446 + ... + 64560608.

It is an arithmetic number, because the mean of its divisors is an integer number (6998945184).

Almost surely, 2204200202401 is an apocalyptic number.

It is an amenable number.

204200202401 is a deficient number, since it is larger than the sum of its proper divisors (19766043487).

204200202401 is a wasteful number, since it uses less digits than its factorization.

204200202401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701.

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 204200202401 its reverse (104202002402), we get a palindrome (308402204803).

The spelling of 204200202401 in words is "two hundred four billion, two hundred million, two hundred two thousand, four hundred one".

Divisors: 1 13 131 167 227 1703 2171 2951 3163 21877 29737 37909 41119 284401 386581 414353 492817 528221 718001 4966079 5386589 6866873 9334013 64559027 69196951 94058131 119906167 899560363 1222755703 1558780171 15707707877 204200202401