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11232312120 = 233453466763
BaseRepresentation
bin10100111010111111…
…10111101100111000
31001222210120120120000
422131133313230320
5141000432441440
65054323233000
7545230035441
oct123537675470
931883516500
1011232312120
114844390387
122215818760
1310a00b6143
14787aa42c8
1545b17c730
hex29d7f7b38

11232312120 has 80 divisors (see below), whose sum is σ = 37753059960. Its totient is φ = 2995282368.

The previous prime is 11232312079. The next prime is 11232312127. The reversal of 11232312120 is 2121323211.

11232312120 is a `hidden beast` number, since 1 + 1 + 232 + 312 + 120 = 666.

It is a super-2 number, since 2×112323121202 (a number of 21 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 = 11232312093 and 11232312102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11232312127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1730142 + ... + 1736621.

Almost surely, 211232312120 is an apocalyptic number.

11232312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11232312120 is an abundant number, since it is smaller than the sum of its proper divisors (26520747840).

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

11232312120 is a wasteful number, since it uses less digits than its factorization.

11232312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466786 (or 3466773 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11232312120 its reverse (2121323211), we get a palindrome (13353635331).

The spelling of 11232312120 in words is "eleven billion, two hundred thirty-two million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 3466763 6933526 10400289 13867052 17333815 20800578 27734104 31200867 34667630 41601156 52001445 62401734 69335260 83202312 93602601 104002890 124803468 138670520 156004335 187205202 208005780 249606936 280807803 312008670 374410404 416011560 468013005 561615606 624017340 748820808 936026010 1123231212 1248034680 1404039015 1872052020 2246462424 2808078030 3744104040 5616156060 11232312120