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13133023220 = 2254349150989
BaseRepresentation
bin11000011101100101…
…00000011111110100
31020220021002201000102
430032302200133310
5203344023220340
610011102133232
7643306566302
oct141662403764
936807081012
1013133023220
11562a2817a9
122666281218
131313b08575
148c82b5272
1551ce7b215
hex30eca07f4

13133023220 has 24 divisors (see below), whose sum is σ = 27585873000. Its totient is φ = 5251966592.

The previous prime is 13133023219. The next prime is 13133023237. The reversal of 13133023220 is 2232033131.

13133023220 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 6280036 + 13126743184 = 2506^2 + 114572^2 .

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 = 13133023192 and 13133023201.

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, 11486 + ... + 162474.

It is an arithmetic number, because the mean of its divisors is an integer number (1149411375).

Almost surely, 213133023220 is an apocalyptic number.

13133023220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13133023220 is an abundant number, since it is smaller than the sum of its proper divisors (14452849780).

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

13133023220 is a wasteful number, since it uses less digits than its factorization.

13133023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155347 (or 155345 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13133023220 its reverse (2232033131), we get a palindrome (15365056351).

The spelling of 13133023220 in words is "thirteen billion, one hundred thirty-three million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 4349 8698 17396 21745 43490 86980 150989 301978 603956 754945 1509890 3019780 656651161 1313302322 2626604644 3283255805 6566511610 13133023220