Search a number
-
+
103634400135 = 357986994287
BaseRepresentation
bin110000010000100010…
…1110111001110000111
3100220111110101222222010
41200201011313032013
53144220401301020
6115335312505303
710326104603160
oct1404105671607
9326443358863
10103634400135
113aa50a0a782
1218102b4b233
139a07775576
145031a06767
152a68343de0
hex1821177387

103634400135 has 16 divisors (see below), whose sum is σ = 189502903296. Its totient is φ = 47375725728.

The previous prime is 103634400127. The next prime is 103634400137. The reversal of 103634400135 is 531004436301.

It is not a de Polignac number, because 103634400135 - 23 = 103634400127 is a prime.

It is a super-3 number, since 3×1036344001353 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103634400137) 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 15 ways as a sum of consecutive naturals, for example, 493497039 + ... + 493497248.

It is an arithmetic number, because the mean of its divisors is an integer number (11843931456).

Almost surely, 2103634400135 is an apocalyptic number.

103634400135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103634400135 is a deficient number, since it is larger than the sum of its proper divisors (85868503161).

103634400135 is an equidigital number, since it uses as much as digits as its factorization.

103634400135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986994302.

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 103634400135 its reverse (531004436301), we get a palindrome (634638836436).

The spelling of 103634400135 in words is "one hundred three billion, six hundred thirty-four million, four hundred thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 105 986994287 2960982861 4934971435 6908960009 14804914305 20726880027 34544800045 103634400135