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13145431041105 = 3511443179840359
BaseRepresentation
bin1011111101001010100010…
…1111110110010001010001
31201112200122200122212211020
42333102220233312101101
53210333320321303410
643542532212310053
72524504015142646
oct277225057662121
951480580585736
1013145431041105
114208a45138460
12158380a312329
137447bb7983ac
14336356a79dcd
1517be220a5a70
hexbf4a8bf6451

13145431041105 has 32 divisors (see below), whose sum is σ = 22996546513920. Its totient is φ = 6359155058880.

The previous prime is 13145431041031. The next prime is 13145431041157. The reversal of 13145431041105 is 50114013454131.

It is not a de Polignac number, because 13145431041105 - 27 = 13145431040977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89847085 + ... + 89993274.

It is an arithmetic number, because the mean of its divisors is an integer number (718642078560).

Almost surely, 213145431041105 is an apocalyptic number.

13145431041105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13145431041105 is a deficient number, since it is larger than the sum of its proper divisors (9851115472815).

13145431041105 is a wasteful number, since it uses less digits than its factorization.

13145431041105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179840821.

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 13145431041105 its reverse (50114013454131), we get a palindrome (63259444495236).

The spelling of 13145431041105 in words is "thirteen trillion, one hundred forty-five billion, four hundred thirty-one million, forty-one thousand, one hundred five".

Divisors: 1 3 5 11 15 33 55 165 443 1329 2215 4873 6645 14619 24365 73095 179840359 539521077 899201795 1978243949 2697605385 5934731847 9891219745 29673659235 79669279037 239007837111 398346395185 876362069407 1195039185555 2629086208221 4381810347035 13145431041105