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11120122023120 = 24325111404055811
BaseRepresentation
bin1010000111010001101011…
…1011000100110011010000
31110101001222102102201001200
42201310122323010303100
52424143002214214440
635352302531231200
72225254663424265
oct241643273046320
943331872381050
1011120122023120
1135a8020a87890
1212b71a2448500
13628813993146
142a6306ba326c
151443d7214c30
hexa1d1aec4cd0

11120122023120 has 120 divisors (see below), whose sum is σ = 40740083440992. Its totient is φ = 2695787155200.

The previous prime is 11120122023089. The next prime is 11120122023121. The reversal of 11120122023120 is 2132022102111.

11120122023120 is a `hidden beast` number, since 1 + 11 + 201 + 220 + 231 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×111201220231202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11120122023093 and 11120122023102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120122023121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702019986 + ... + 702035825.

Almost surely, 211120122023120 is an apocalyptic number.

11120122023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120122023120 is an abundant number, since it is smaller than the sum of its proper divisors (29619961417872).

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

11120122023120 is a wasteful number, since it uses less digits than its factorization.

11120122023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404055841 (or 1404055832 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11120122023120 its reverse (2132022102111), we get a palindrome (13252144125231).

The spelling of 11120122023120 in words is "eleven trillion, one hundred twenty billion, one hundred twenty-two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 1404055811 2808111622 4212167433 5616223244 7020279055 8424334866 11232446488 12636502299 14040558110 15444613921 16848669732 21060837165 22464892976 25273004598 28081116220 30889227842 33697339464 42121674330 46333841763 50546009196 56162232440 61778455684 63182511495 67394678928 77223069605 84243348660 92667683526 101092018392 112324464880 123556911368 126365022990 139001525289 154446139210 168486697320 185335367052 202184036784 231669208815 247113822736 252730045980 278003050578 308892278420 336973394640 370670734104 463338417630 505460091960 556006101156 617784556840 695007626445 741341468208 926676835260 1010920183920 1112012202312 1235569113680 1390015252890 1853353670520 2224024404624 2780030505780 3706707341040 5560061011560 11120122023120