Search a number
-
+
13214050120 = 235330351253
BaseRepresentation
bin11000100111001111…
…00110011101001000
31021002220120022000201
430103213212131020
5204030244100440
610023114541544
7645312400315
oct142347463510
937086508021
1013214050120
115670a94487
1226894378b4
13132783818b
148d4d67d0c
1552513419a
hex3139e6748

13214050120 has 16 divisors (see below), whose sum is σ = 29731612860. Its totient is φ = 5285620032.

The previous prime is 13214050067. The next prime is 13214050123. The reversal of 13214050120 is 2105041231.

13214050120 is digitally balanced in base 2, 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 2 ways, for example, as 12125973924 + 1088076196 = 110118^2 + 32986^2 .

It is a super-2 number, since 2×132140501202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13214050123) 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 3 ways as a sum of consecutive naturals, for example, 165175587 + ... + 165175666.

Almost surely, 213214050120 is an apocalyptic number.

13214050120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13214050120 is an abundant number, since it is smaller than the sum of its proper divisors (16517562740).

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

13214050120 is a wasteful number, since it uses less digits than its factorization.

13214050120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330351264 (or 330351260 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 13214050120 its reverse (2105041231), we get a palindrome (15319091351).

The spelling of 13214050120 in words is "thirteen billion, two hundred fourteen million, fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 330351253 660702506 1321405012 1651756265 2642810024 3303512530 6607025060 13214050120