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13011133212434 = 2721729269303581
BaseRepresentation
bin1011110101010110001111…
…1110010010011100010010
31201001212000020121022121202
42331111203332102130102
53201133300100244214
643401122043551202
72512011003344600
oct275254376223422
951055006538552
1013011133212434
114166a99554005
12156178a22b502
13734c38384796
1432da56890870
151786b1c8b6de
hexbd563f92712

13011133212434 has 48 divisors (see below), whose sum is σ = 24867492761880. Its totient is φ = 5067216161280.

The previous prime is 13011133212403. The next prime is 13011133212449. The reversal of 13011133212434 is 43421233111031.

It can be written as a sum of positive squares in 4 ways, for example, as 12952908970225 + 58224242209 = 3599015^2 + 241297^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 13011133212397 and 13011133212406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134603477 + ... + 134700104.

Almost surely, 213011133212434 is an apocalyptic number.

13011133212434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13011133212434 is a deficient number, since it is larger than the sum of its proper divisors (11856359549446).

13011133212434 is a wasteful number, since it uses less digits than its factorization.

13011133212434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269303643 (or 269303636 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 13011133212434 its reverse (43421233111031), we get a palindrome (56432366323465).

The spelling of 13011133212434 in words is "thirteen trillion, eleven billion, one hundred thirty-three million, two hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 7 14 17 29 34 49 58 98 119 203 238 406 493 833 986 1421 1666 2842 3451 6902 24157 48314 269303581 538607162 1885125067 3770250134 4578160877 7809803849 9156321754 13195875469 15619607698 26391750938 32047126139 54668626943 64094252278 109337253886 132766665433 224329882973 265533330866 382680388601 448659765946 765360777202 929366658031 1858733316062 6505566606217 13011133212434