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13133132120 = 2351917280437
BaseRepresentation
bin11000011101100101…
…11011000101011000
31020220021022020101202
430032302323011120
5203344040211440
610011104333332
7643310531633
oct141662730530
936807266352
1013133132120
11562a3465a9
122666314248
131313b45cc4
148c8302c1a
1551ce9d615
hex30ecbb158

13133132120 has 32 divisors (see below), whose sum is σ = 31104788400. Its totient is φ = 4976765568.

The previous prime is 13133132119. The next prime is 13133132123. The reversal of 13133132120 is 2123133131.

13133132120 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 = 13133132092 and 13133132101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133132123) 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, 8639459 + ... + 8640978.

Almost surely, 213133132120 is an apocalyptic number.

13133132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13133132120 is an abundant number, since it is smaller than the sum of its proper divisors (17971656280).

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

13133132120 is a wasteful number, since it uses less digits than its factorization.

13133132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17280467 (or 17280463 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13133132120 its reverse (2123133131), we get a palindrome (15256265251).

The spelling of 13133132120 in words is "thirteen billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 17280437 34560874 69121748 86402185 138243496 172804370 328328303 345608740 656656606 691217480 1313313212 1641641515 2626626424 3283283030 6566566060 13133132120