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12133331100 = 223252111225589
BaseRepresentation
bin10110100110011001…
…11111000010011100
31011022121000002020100
423103030333002130
5144322113043400
65323551221100
7606450420102
oct132314770234
934277002210
1012133331100
115166a49270
122427517790
1311b4978577
14831607c72
154b030b100
hex2d333f09c

12133331100 has 108 divisors (see below), whose sum is σ = 41488672680. Its totient is φ = 2941411200.

The previous prime is 12133331099. The next prime is 12133331117. The reversal of 12133331100 is 113333121.

It is a happy number.

12133331100 is a `hidden beast` number, since 1 + 21 + 333 + 311 + 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 602895 + ... + 622694.

Almost surely, 212133331100 is an apocalyptic number.

12133331100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133331100 is an abundant number, since it is smaller than the sum of its proper divisors (29355341580).

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

12133331100 is a wasteful number, since it uses less digits than its factorization.

12133331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225620 (or 1225610 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12133331100 its reverse (113333121), we get a palindrome (12246664221).

The spelling of 12133331100 in words is "twelve billion, one hundred thirty-three million, three hundred thirty-one 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 1225589 2451178 3676767 4902356 6127945 7353534 11030301 12255890 13481479 14707068 18383835 22060602 24511780 26962958 30639725 36767670 40444437 44121204 53925916 55151505 61279450 67407395 73535340 80888874 91919175 110303010 121333311 122558900 134814790 161777748 183838350 202222185 220606020 242666622 269629580 275757525 337036975 367676700 404444370 485333244 551515050 606666555 674073950 808888740 1011110925 1103030100 1213333110 1348147900 2022221850 2426666220 3033332775 4044443700 6066665550 12133331100