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13133440441 = 114725403173
BaseRepresentation
bin11000011101101000…
…00110010110111001
31020220021212220100001
430032310012112321
5203344130043231
610011115113001
7643313254552
oct141664062671
936807786301
1013133440441
11562a537210
122666442761
131313c23444
148c8383329
1551d00eb61
hex30ed065b9

13133440441 has 8 divisors (see below), whose sum is σ = 14632228224. Its totient is φ = 11685459120.

The previous prime is 13133440429. The next prime is 13133440499. The reversal of 13133440441 is 14404433131.

It is a happy number.

13133440441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13133440441 - 29 = 13133439929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13133440141) 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, 12701070 + ... + 12702103.

It is an arithmetic number, because the mean of its divisors is an integer number (1829028528).

Almost surely, 213133440441 is an apocalyptic number.

13133440441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13133440441 is a deficient number, since it is larger than the sum of its proper divisors (1498787783).

13133440441 is a wasteful number, since it uses less digits than its factorization.

13133440441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25403231.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13133440441 its reverse (14404433131), we get a palindrome (27537873572).

The spelling of 13133440441 in words is "thirteen billion, one hundred thirty-three million, four hundred forty thousand, four hundred forty-one".

Divisors: 1 11 47 517 25403173 279434903 1193949131 13133440441