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13122411011343 = 3217434909406313
BaseRepresentation
bin1011111011110100110010…
…1001011001110100001111
31201110111020101102012120100
42332331030221121310033
53204444144204330333
643524204041222143
72523030402131364
oct276751451316417
951414211365510
1013122411011343
1141aa201a08377
12157b264a91953
137425905153ca
143351b165646b
1517b52613b213
hexbef4ca59d0f

13122411011343 has 48 divisors (see below), whose sum is σ = 20540537915040. Its totient is φ = 8040530921472.

The previous prime is 13122411011287. The next prime is 13122411011407. The reversal of 13122411011343 is 34311011422131.

13122411011343 is a `hidden beast` number, since 1 + 312 + 2 + 4 + 1 + 1 + 0 + 1 + 1 + 343 = 666.

It is not a de Polignac number, because 13122411011343 - 218 = 13122410749199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122411011243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32093155 + ... + 32499467.

It is an arithmetic number, because the mean of its divisors is an integer number (427927873230).

Almost surely, 213122411011343 is an apocalyptic number.

13122411011343 is a deficient number, since it is larger than the sum of its proper divisors (7418126903697).

13122411011343 is a wasteful number, since it uses less digits than its factorization.

13122411011343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411288 (or 411285 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 13122411011343 its reverse (34311011422131), we get a palindrome (47433422433474).

The spelling of 13122411011343 in words is "thirteen trillion, one hundred twenty-two billion, four hundred eleven million, eleven thousand, three hundred forty-three".

Divisors: 1 3 9 17 43 51 129 153 387 731 2193 4909 6579 14727 44181 83453 211087 250359 406313 633261 751077 1218939 1899783 3588479 3656817 6907321 10765437 17471459 20721963 32296311 52414377 62165889 157243131 297014803 891044409 1994590517 2673133227 5983771551 17951314653 33908038789 85767392231 101724116367 257302176693 305172349101 771906530079 1458045667927 4374137003781 13122411011343