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14202332120 = 235491723133
BaseRepresentation
bin11010011101000011…
…00110001111011000
31100122210012020001202
431032201212033120
5213041244111440
610305141133332
71011642555044
oct151641461730
940583166052
1014202332120
116028934369
1229043ba248
131454501822
1498a305024
15581c9d615
hex34e8663d8

14202332120 has 32 divisors (see below), whose sum is σ = 32020373520. Its totient is φ = 5669354880.

The previous prime is 14202332107. The next prime is 14202332147. The reversal of 14202332120 is 2123320241.

14202332120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14202332092 and 14202332101.

It is a congruent number.

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, 341927 + ... + 381206.

Almost surely, 214202332120 is an apocalyptic number.

14202332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14202332120 is an abundant number, since it is smaller than the sum of its proper divisors (17818041400).

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

14202332120 is a wasteful number, since it uses less digits than its factorization.

14202332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723635 (or 723631 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14202332120 its reverse (2123320241), we get a palindrome (16325652361).

The spelling of 14202332120 in words is "fourteen billion, two hundred two million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 491 982 1964 2455 3928 4910 9820 19640 723133 1446266 2892532 3615665 5785064 7231330 14462660 28925320 355058303 710116606 1420233212 1775291515 2840466424 3550583030 7101166060 14202332120