Search a number
-
+
13300414314020 = 2251135885139077
BaseRepresentation
bin1100000110001011111001…
…1110000111011000100100
31202002111200202000220000022
43001202332132013120210
53220403222031022040
644142043113534312
72541631444213451
oct301427636073044
952074622026008
1013300414314020
114268746159279
1215a9861a14398
137562ba59a942
1433da5a1b6828
15180e933d56b5
hexc18be787624

13300414314020 has 24 divisors (see below), whose sum is σ = 28178045905464. Its totient is φ = 5273084612096.

The previous prime is 13300414313983. The next prime is 13300414314091. The reversal of 13300414314020 is 2041341400331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 294336630784 + 13006077683236 = 542528^2 + 3606394^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2942567279 + ... + 2942571798.

It is an arithmetic number, because the mean of its divisors is an integer number (1174085246061).

Almost surely, 213300414314020 is an apocalyptic number.

13300414314020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300414314020 is an abundant number, since it is smaller than the sum of its proper divisors (14877631591444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13300414314020 is a wasteful number, since it uses less digits than its factorization.

13300414314020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5885139199 (or 5885139197 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13300414314020 its reverse (2041341400331), we get a palindrome (15341755714351).

The spelling of 13300414314020 in words is "thirteen trillion, three hundred billion, four hundred fourteen million, three hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 5885139077 11770278154 23540556308 29425695385 58851390770 117702781540 665020715701 1330041431402 2660082862804 3325103578505 6650207157010 13300414314020