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11123412441399 = 3247592112112337
BaseRepresentation
bin1010000111011101111100…
…0011000001100100110111
31110101101110201221021101100
42201313133003001210313
52424221222041111044
635354005232301143
72225432346501426
oct241673703014467
943341421837340
1011123412441399
1135a945a377835
1212b79603a17b3
13628c1959c0cb
142a6539ba72bd
1514452b023869
hexa1ddf0c1937

11123412441399 has 48 divisors (see below), whose sum is σ = 16766218160640. Its totient is φ = 7100997684480.

The previous prime is 11123412441377. The next prime is 11123412441523. The reversal of 11123412441399 is 99314421432111.

11123412441399 is a `hidden beast` number, since 1 + 1 + 1 + 23 + 4 + 124 + 413 + 99 = 666.

It is not a de Polignac number, because 11123412441399 - 29 = 11123412440887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123412441359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4209759 + ... + 6322095.

It is an arithmetic number, because the mean of its divisors is an integer number (349296211680).

Almost surely, 211123412441399 is an apocalyptic number.

11123412441399 is a deficient number, since it is larger than the sum of its proper divisors (5642805719241).

11123412441399 is a wasteful number, since it uses less digits than its factorization.

11123412441399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112660 (or 2112657 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 11123412441399 in words is "eleven trillion, one hundred twenty-three billion, four hundred twelve million, four hundred forty-one thousand, three hundred ninety-nine".

Divisors: 1 3 9 47 59 141 177 211 423 531 633 1899 2773 8319 9917 12449 24957 29751 37347 89253 112041 585103 1755309 2112337 5265927 6337011 19011033 99279839 124627883 297839517 373883649 445703107 893518551 1121650947 1337109321 4011327963 5857510501 17572531503 20948046029 26296483313 52717594509 62844138087 78889449939 188532414261 236668349817 1235934715711 3707804147133 11123412441399