Search a number
-
+
123536000354 = 2135938012453
BaseRepresentation
bin111001100001101010…
…0011100010101100010
3102210212102210001002112
41303003110130111202
54011000204002404
6132430205115322
711632223451224
oct1630324342542
9383772701075
10123536000354
1148433940568
121bb37b58b42
13b859949b80
145d9cbd6414
15333062456e
hex1cc351c562

123536000354 has 16 divisors (see below), whose sum is σ = 199894702392. Its totient is φ = 56920459008.

The previous prime is 123536000347. The next prime is 123536000387. The reversal of 123536000354 is 453000635321.

123536000354 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 105220438129 + 18315562225 = 324377^2 + 135335^2 .

It is a super-2 number, since 2×1235360003542 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123536000354.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3990809 + ... + 4021644.

Almost surely, 2123536000354 is an apocalyptic number.

123536000354 is a deficient number, since it is larger than the sum of its proper divisors (76358702038).

123536000354 is a wasteful number, since it uses less digits than its factorization.

123536000354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8013061.

The product of its (nonzero) digits is 32400, while the sum is 32.

Adding to 123536000354 its reverse (453000635321), we get a palindrome (576536635675).

The spelling of 123536000354 in words is "one hundred twenty-three billion, five hundred thirty-six million, three hundred fifty-four", and thus it is an aban number.

Divisors: 1 2 13 26 593 1186 7709 15418 8012453 16024906 104161889 208323778 4751384629 9502769258 61768000177 123536000354