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11232134100 = 223252111134559
BaseRepresentation
bin10100111010111110…
…01100001111010100
31001222210020112100200
422131133030033110
5141000411242400
65054315340500
7545225364435
oct123537141724
931883215320
1011232134100
114844279660
122215751730
1310a00530c5
14787a5948c
1545b144b00
hex29d7cc3d4

11232134100 has 108 divisors (see below), whose sum is σ = 38407125120. Its totient is φ = 2722939200.

The previous prime is 11232134087. The next prime is 11232134129. The reversal of 11232134100 is 143123211.

11232134100 is a `hidden beast` number, since 1 + 1 + 2 + 321 + 341 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 557380 + ... + 577179.

Almost surely, 211232134100 is an apocalyptic number.

11232134100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11232134100 is an abundant number, since it is smaller than the sum of its proper divisors (27174991020).

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

11232134100 is a wasteful number, since it uses less digits than its factorization.

11232134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134590 (or 1134580 counting only the distinct ones).

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

Adding to 11232134100 its reverse (143123211), we get a palindrome (11375257311).

The spelling of 11232134100 in words is "eleven billion, two hundred thirty-two million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 1134559 2269118 3403677 4538236 5672795 6807354 10211031 11345590 12480149 13614708 17018385 20422062 22691180 24960298 28363975 34036770 37440447 40844124 49920596 51055155 56727950 62400745 68073540 74880894 85091925 102110310 112321341 113455900 124801490 149761788 170183850 187202235 204220620 224642682 249602980 255275775 312003725 340367700 374404470 449285364 510551550 561606705 624007450 748808940 936011175 1021103100 1123213410 1248014900 1872022350 2246426820 2808033525 3744044700 5616067050 11232134100