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13444242101301 = 3114730612831791
BaseRepresentation
bin1100001110100011101101…
…0001100101010000110101
31202121020221100101111202210
43003220323101211100311
53230232301434220201
644332111034324033
72555212565223444
oct303507321452065
952536840344683
1013444242101301
1143137421a2680
121611701589619
13766a2c1a5b0b
143469c1d2ad5b
15184ab01b11d6
hexc3a3b465435

13444242101301 has 32 divisors (see below), whose sum is σ = 19977862127616. Its totient is φ = 7972055208000.

The previous prime is 13444242101267. The next prime is 13444242101359. The reversal of 13444242101301 is 10310124244431.

It is a happy number.

It is not a de Polignac number, because 13444242101301 - 210 = 13444242100277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13444242100301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3331716 + ... + 6163506.

It is an arithmetic number, because the mean of its divisors is an integer number (624308191488).

Almost surely, 213444242101301 is an apocalyptic number.

13444242101301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13444242101301 is a deficient number, since it is larger than the sum of its proper divisors (6533620026315).

13444242101301 is a wasteful number, since it uses less digits than its factorization.

13444242101301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834913.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13444242101301 its reverse (10310124244431), we get a palindrome (23754366345732).

The spelling of 13444242101301 in words is "thirteen trillion, four hundred forty-four billion, two hundred forty-two million, one hundred one thousand, three hundred one".

Divisors: 1 3 11 33 47 141 517 1551 3061 9183 33671 101013 143867 431601 1582537 2831791 4747611 8495373 31149701 93449103 133094177 399282531 1464035947 4392107841 8668112251 26004336753 95349234761 286047704283 407401275797 1222203827391 4481414033767 13444242101301