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204133003001 = 2947210213121
BaseRepresentation
bin1011111000011101000…
…1100110111011111001
3201111220101020222202122
42332013101212323321
511321031022044001
6233435530411025
720514414616304
oct2760721467371
9644811228678
10204133003001
1179632838564
123368b890a75
131633266b195
149c46d77b3b
15549b21cb1b
hex2f87466ef9

204133003001 has 24 divisors (see below), whose sum is σ = 216041213640. Its totient is φ = 192649766400.

The previous prime is 204133002961. The next prime is 204133003007. The reversal of 204133003001 is 100300331402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 890724025 + 203242278976 = 29845^2 + 450824^2 .

It is not a de Polignac number, because 204133003001 - 230 = 203059261177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (204133003007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65404721 + ... + 65407841.

It is an arithmetic number, because the mean of its divisors is an integer number (9001717235).

Almost surely, 2204133003001 is an apocalyptic number.

It is an amenable number.

204133003001 is a deficient number, since it is larger than the sum of its proper divisors (11908210639).

204133003001 is a wasteful number, since it uses less digits than its factorization.

204133003001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 204133003001 its reverse (100300331402), we get a palindrome (304433334403).

The spelling of 204133003001 in words is "two hundred four billion, one hundred thirty-three million, three thousand, one".

Divisors: 1 29 47 1021 1363 2209 3121 29609 47987 64061 90509 146687 1391623 2255389 3186541 4253923 6894289 65406281 92409689 149767427 199934381 4343255383 7039069069 204133003001