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13741227313 = 1117349921001
BaseRepresentation
bin11001100110000101…
…00111110100110001
31022110122112200011221
430303002213310301
5211120223233223
610151310105041
7664343335132
oct146302476461
938418480157
1013741227313
115911623510
1227b5aab181
1313acb17448
14944d95c89
15556569b5d
hex3330a7d31

13741227313 has 16 divisors (see below), whose sum is σ = 15877512000. Its totient is φ = 11753280000.

The previous prime is 13741227299. The next prime is 13741227371. The reversal of 13741227313 is 31372214731.

13741227313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13741227313 - 233 = 5151292721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13741225313) 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 15 ways as a sum of consecutive naturals, for example, 643813 + ... + 664813.

It is an arithmetic number, because the mean of its divisors is an integer number (992344500).

Almost surely, 213741227313 is an apocalyptic number.

It is an amenable number.

13741227313 is a deficient number, since it is larger than the sum of its proper divisors (2136284687).

13741227313 is a wasteful number, since it uses less digits than its factorization.

13741227313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24528.

The product of its digits is 21168, while the sum is 34.

The spelling of 13741227313 in words is "thirteen billion, seven hundred forty-one million, two hundred twenty-seven thousand, three hundred thirteen".

Divisors: 1 11 17 187 3499 21001 38489 59483 231011 357017 654313 3927187 73482499 808307489 1249202483 13741227313