Search a number
-
+
204217524001 = 1230116601701
BaseRepresentation
bin1011111000110001010…
…0000001111100100001
3201112010021022002210001
42332030110001330201
511321214141232001
6233452150140001
720516462212231
oct2761424017441
9645107262701
10204217524001
1179676517427
12336b4051601
13163470222ca
149c54299cc1
1554a3866001
hex2f8c501f21

204217524001 has 4 divisors (see below), whose sum is σ = 204234138004. Its totient is φ = 204200910000.

The previous prime is 204217523999. The next prime is 204217524011. The reversal of 204217524001 is 100425712402.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100425712402 = 250212856201.

It can be written as a sum of positive squares in 2 ways, for example, as 160060805776 + 44156718225 = 400076^2 + 210135^2 .

It is a cyclic number.

It is not a de Polignac number, because 204217524001 - 21 = 204217523999 is a prime.

It is a super-2 number, since 2×2042175240012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204217524011) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 8288550 + ... + 8313151.

It is an arithmetic number, because the mean of its divisors is an integer number (51058534501).

Almost surely, 2204217524001 is an apocalyptic number.

It is an amenable number.

204217524001 is a deficient number, since it is larger than the sum of its proper divisors (16614003).

204217524001 is a wasteful number, since it uses less digits than its factorization.

204217524001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16614002.

The product of its (nonzero) digits is 4480, while the sum is 28.

The spelling of 204217524001 in words is "two hundred four billion, two hundred seventeen million, five hundred twenty-four thousand, one".

Divisors: 1 12301 16601701 204217524001