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13200756021 = 327012092369
BaseRepresentation
bin11000100101101001…
…11000110100110101
31021001222112212221200
430102310320310311
5204013343143041
610021522003113
7645061401105
oct142264706465
937058485850
1013200756021
115664534422
122684aa6499
131324b6214b
148d32a7205
15523daa1b6
hex312d38d35

13200756021 has 12 divisors (see below), whose sum is σ = 19094968620. Its totient is φ = 8787945600.

The previous prime is 13200756013. The next prime is 13200756029. The reversal of 13200756021 is 12065700231.

It is a happy number.

13200756021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13200756013) and next prime (13200756029).

It can be written as a sum of positive squares in 2 ways, for example, as 12158370225 + 1042385796 = 110265^2 + 32286^2 .

It is not a de Polignac number, because 13200756021 - 23 = 13200756013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200756029) 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 11 ways as a sum of consecutive naturals, for example, 1039876 + ... + 1052493.

It is an arithmetic number, because the mean of its divisors is an integer number (1591247385).

Almost surely, 213200756021 is an apocalyptic number.

It is an amenable number.

13200756021 is a deficient number, since it is larger than the sum of its proper divisors (5894212599).

13200756021 is a wasteful number, since it uses less digits than its factorization.

13200756021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093076 (or 2093073 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 13200756021 in words is "thirteen billion, two hundred million, seven hundred fifty-six thousand, twenty-one".

Divisors: 1 3 9 701 2103 6309 2092369 6277107 18831321 1466750669 4400252007 13200756021