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13124253350241 = 3211212139935413
BaseRepresentation
bin1011111011111011101001…
…1101010111100101100001
31201110122222210002201102100
42332332322131113211201
53210011432324201431
643525110533041013
72523124142554665
oct276767235274541
951418883081370
1013124253350241
1141aaa6795a900
12157b699a86169
137427c510a777
143353081d08a5
1517b5d2c594e6
hexbefba757961

13124253350241 has 36 divisors (see below), whose sum is σ = 20854493598484. Its totient is φ = 7947534767040.

The previous prime is 13124253350239. The next prime is 13124253350249. The reversal of 13124253350241 is 14205335242131.

13124253350241 is a `hidden beast` number, since 1 + 3 + 12 + 4 + 2 + 53 + 350 + 241 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 531301041216 + 12592952309025 = 728904^2 + 3548655^2 .

It is not a de Polignac number, because 13124253350241 - 21 = 13124253350239 is a prime.

It is a super-2 number, since 2×131242533502412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13124253350196 and 13124253350205.

It is not an unprimeable number, because it can be changed into a prime (13124253350249) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3646750 + ... + 6288663.

Almost surely, 213124253350241 is an apocalyptic number.

13124253350241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13124253350241 is a deficient number, since it is larger than the sum of its proper divisors (7730240248243).

13124253350241 is a wasteful number, since it uses less digits than its factorization.

13124253350241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9936654 (or 9936640 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 13124253350241 its reverse (14205335242131), we get a palindrome (27329588592372).

The spelling of 13124253350241 in words is "thirteen trillion, one hundred twenty-four billion, two hundred fifty-three million, three hundred fifty thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 1213 3639 10917 13343 40029 120087 146773 440319 1320957 9935413 29806239 89418717 109289543 327868629 983605887 1202184973 3606554919 10819664757 12051655969 36154967907 108464903721 132568215659 397704646977 1193113940931 1458250372249 4374751116747 13124253350241