Search a number
-
+
204121313123 = 71323241404671
BaseRepresentation
bin1011111000011010010…
…1000000111101100011
3201111212120021002021012
42332012211000331203
511321020024004443
6233434432051135
720514213351110
oct2760645007543
9644776232235
10204121313123
1179627183802
1233687993aab
13163301073b0
149c455b3907
15549a1ae118
hex2f86940f63

204121313123 has 32 divisors (see below), whose sum is σ = 263237517312. Its totient is φ = 153839347200.

The previous prime is 204121313119. The next prime is 204121313167. The reversal of 204121313123 is 321313121402.

204121313123 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 204121313123 - 22 = 204121313119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (204121313423) 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, 302078 + ... + 706748.

It is an arithmetic number, because the mean of its divisors is an integer number (8226172416).

Almost surely, 2204121313123 is an apocalyptic number.

204121313123 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

204121313123 is a deficient number, since it is larger than the sum of its proper divisors (59116204189).

204121313123 is a wasteful number, since it uses less digits than its factorization.

204121313123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404955.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 204121313123 its reverse (321313121402), we get a palindrome (525434434525).

The spelling of 204121313123 in words is "two hundred four billion, one hundred twenty-one million, three hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 7 13 23 91 161 241 299 1687 2093 3133 5543 21931 38801 72059 404671 504413 2832697 5260723 9307433 36825061 65152031 97525711 120996629 682679977 846976403 1267834243 2243091353 8874839701 15701639471 29160187589 204121313123