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13114122440301 = 321457124715589
BaseRepresentation
bin1011111011010101111010…
…0111000000111001101101
31201102200211202000011121200
42332311132213000321231
53204330210321042201
643520313352320113
72522315115342261
oct276653647007155
951380752004550
1013114122440301
1141a6739262263
1215797310a3039
1374186c2765bc
14334a269120a1
1517b1dd63d386
hexbed5e9c0e6d

13114122440301 has 6 divisors (see below), whose sum is σ = 18942621302670. Its totient is φ = 8742748293528.

The previous prime is 13114122440233. The next prime is 13114122440329. The reversal of 13114122440301 is 10304422141131.

It is a happy number.

13114122440301 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 412 + 244 + 0 + 3 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8615099652201 + 4499022788100 = 2935149^2 + 2121090^2 .

It is not a de Polignac number, because 13114122440301 - 219 = 13114121916013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114122440381) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 728562357786 + ... + 728562357803.

It is an arithmetic number, because the mean of its divisors is an integer number (3157103550445).

Almost surely, 213114122440301 is an apocalyptic number.

It is an amenable number.

13114122440301 is a deficient number, since it is larger than the sum of its proper divisors (5828498862369).

13114122440301 is a wasteful number, since it uses less digits than its factorization.

13114122440301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457124715595 (or 1457124715592 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13114122440301 its reverse (10304422141131), we get a palindrome (23418544581432).

The spelling of 13114122440301 in words is "thirteen trillion, one hundred fourteen billion, one hundred twenty-two million, four hundred forty thousand, three hundred one".

Divisors: 1 3 9 1457124715589 4371374146767 13114122440301