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14013133000 = 235314013133
BaseRepresentation
bin11010000110011111…
…10111000011001000
31100011121011220122221
431003033313003020
5212144330224000
610234302023424
71004154444106
oct150317670310
940147156587
1014013133000
115a41059259
122870b77b74
131424259799
1496d134c76
1557037961a
hex3433f70c8

14013133000 has 32 divisors (see below), whose sum is σ = 32790733560. Its totient is φ = 5605252800.

The previous prime is 14013132979. The next prime is 14013133003. The reversal of 14013133000 is 33131041.

14013133000 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 4 ways, for example, as 6883357156 + 7129775844 = 82966^2 + 84438^2 .

It is not an unprimeable number, because it can be changed into a prime (14013133003) 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 7 ways as a sum of consecutive naturals, for example, 7005567 + ... + 7007566.

Almost surely, 214013133000 is an apocalyptic number.

14013133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14013133000 is an abundant number, since it is smaller than the sum of its proper divisors (18777600560).

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

14013133000 is a wasteful number, since it uses less digits than its factorization.

14013133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14013154 (or 14013140 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 14013133000 its reverse (33131041), we get a palindrome (14046264041).

The spelling of 14013133000 in words is "fourteen billion, thirteen million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 14013133 28026266 56052532 70065665 112105064 140131330 280262660 350328325 560525320 700656650 1401313300 1751641625 2802626600 3503283250 7006566500 14013133000