Search a number
-
+
204114631017 = 31121733076427
BaseRepresentation
bin1011111000011000101…
…1100001100101101001
3201111212002200121010210
42332012023201211221
511321011321143032
6233434032531333
720514102510543
oct2760613414551
9644762617123
10204114631017
117962342a400
12336856b0b49
131632b907a9b
149c44754693
1554997de2cc
hex2f862e1969

204114631017 has 24 divisors (see below), whose sum is σ = 316739874528. Its totient is φ = 116429019520.

The previous prime is 204114630997. The next prime is 204114631043. The reversal of 204114631017 is 710136411402.

204114631017 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 204114631017 - 224 = 204097853801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204114631057) 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 23 ways as a sum of consecutive naturals, for example, 16532043 + ... + 16544384.

It is an arithmetic number, because the mean of its divisors is an integer number (13197494772).

Almost surely, 2204114631017 is an apocalyptic number.

It is an amenable number.

204114631017 is a deficient number, since it is larger than the sum of its proper divisors (112625243511).

204114631017 is a wasteful number, since it uses less digits than its factorization.

204114631017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33076469 (or 33076458 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 204114631017 in words is "two hundred four billion, one hundred fourteen million, six hundred thirty-one thousand, seventeen".

Divisors: 1 3 11 17 33 51 121 187 363 561 2057 6171 33076427 99229281 363840697 562299259 1091522091 1686897777 4002247667 6185291849 12006743001 18555875547 68038210339 204114631017