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11724853371121 = 1123472573836683
BaseRepresentation
bin1010101010011110011110…
…1110000110000011110001
31112111212220012011010212001
42222213213232012003301
53014044444430333441
640534153454534001
72320043540161642
oct252474756060361
945455805133761
1011724853371121
113810534075140
121394431807301
13670858908b47
142c76b35756c9
15154ecc61d731
hexaa9e7b860f1

11724853371121 has 32 divisors (see below), whose sum is σ = 13683886460928. Its totient is φ = 9939768791040.

The previous prime is 11724853371001. The next prime is 11724853371137. The reversal of 11724853371121 is 12117335842711.

It is not a de Polignac number, because 11724853371121 - 215 = 11724853338353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11724853371151) 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 31 ways as a sum of consecutive naturals, for example, 1137646 + ... + 4974328.

It is an arithmetic number, because the mean of its divisors is an integer number (427621451904).

Almost surely, 211724853371121 is an apocalyptic number.

11724853371121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11724853371121 is a deficient number, since it is larger than the sum of its proper divisors (1959033089807).

11724853371121 is a wasteful number, since it uses less digits than its factorization.

11724853371121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837021.

The product of its digits is 282240, while the sum is 46.

The spelling of 11724853371121 in words is "eleven trillion, seven hundred twenty-four billion, eight hundred fifty-three million, three hundred seventy-one thousand, one hundred twenty-one".

Divisors: 1 11 23 47 253 257 517 1081 2827 5911 11891 12079 65021 132869 277817 3055987 3836683 42203513 88243709 180324101 970680799 986027531 1983565111 4147454323 10846302841 22678633213 45621997553 46343293957 249464965343 509776233527 1065895761011 11724853371121