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11120129424 = 24322310930803
BaseRepresentation
bin10100101101100111…
…11011010110010000
31001200222111002211100
422112303323112100
5140233223120144
65035234544400
7542365353255
oct122663732620
931628432740
1011120129424
114797028908
1221a4138100
131082a98451
14776c2142c
154513bd269
hex296cfb590

11120129424 has 120 divisors (see below), whose sum is σ = 32772991680. Its totient is φ = 3512906496.

The previous prime is 11120129417. The next prime is 11120129441. The reversal of 11120129424 is 42492102111.

It is a happy number.

11120129424 is a `hidden beast` number, since 1 + 11 + 201 + 29 + 424 = 666.

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, 345607 + ... + 376409.

It is an arithmetic number, because the mean of its divisors is an integer number (273108264).

Almost surely, 211120129424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120129424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16386495840).

11120129424 is an abundant number, since it is smaller than the sum of its proper divisors (21652862256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11120129424 is a wasteful number, since it uses less digits than its factorization.

11120129424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30949 (or 30940 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

It can be divided in two parts, 111201 and 29424, that added together give a square (140625 = 3752).

The spelling of 11120129424 in words is "eleven billion, one hundred twenty million, one hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 109 138 144 184 207 218 276 327 368 414 436 552 654 828 872 981 1104 1308 1656 1744 1962 2507 2616 3312 3924 5014 5232 7521 7848 10028 15042 15696 20056 22563 30084 30803 40112 45126 60168 61606 90252 92409 120336 123212 180504 184818 246424 277227 361008 369636 492848 554454 708469 739272 1108908 1416938 1478544 2125407 2217816 2833876 3357527 4250814 4435632 5667752 6376221 6715054 8501628 10072581 11335504 12752442 13430108 17003256 20145162 25504884 26860216 30217743 34006512 40290324 51009768 53720432 60435486 77223121 80580648 102019536 120870972 154446242 161161296 231669363 241741944 308892484 463338726 483483888 617784968 695008089 926677452 1235569936 1390016178 1853354904 2780032356 3706709808 5560064712 11120129424