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13114241320341 = 374359659243433
BaseRepresentation
bin1011111011010110010110…
…1100100000010110010101
31201102201011000200220101010
42332311211230200112111
53204330431234222331
643520333240322433
72522321060660310
oct276654554402625
951381130626333
1013114241320341
1141a679a379627
121579764a73419
1374188aa9a815
14334a38619977
1517b1e8cc1e46
hexbed65b20595

13114241320341 has 32 divisors (see below), whose sum is σ = 20448767595520. Its totient is φ = 7319423793024.

The previous prime is 13114241320333. The next prime is 13114241320351. The reversal of 13114241320341 is 14302314241131.

It is not a de Polignac number, because 13114241320341 - 23 = 13114241320333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13114241320299 and 13114241320308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114241320351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53750361 + ... + 53993793.

It is an arithmetic number, because the mean of its divisors is an integer number (639023987360).

Almost surely, 213114241320341 is an apocalyptic number.

It is an amenable number.

13114241320341 is a deficient number, since it is larger than the sum of its proper divisors (7334526275179).

13114241320341 is a wasteful number, since it uses less digits than its factorization.

13114241320341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303145.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 13114241320341 its reverse (14302314241131), we get a palindrome (27416555561472).

The spelling of 13114241320341 in words is "thirteen trillion, one hundred fourteen billion, two hundred forty-one million, three hundred twenty thousand, three hundred forty-one".

Divisors: 1 3 7 21 43 129 301 903 59659 178977 243433 417613 730299 1252839 1704031 2565337 5112093 7696011 10467619 17957359 31402857 53872077 73273333 219819999 14522969347 43568908041 101660785429 304982356287 624487681921 1873463045763 4371413773447 13114241320341