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232033002012 = 223272981713399
BaseRepresentation
bin1101100000011000111…
…1101010001000011100
3211011220210000210100100
43120012033222020130
512300200422031022
6254332224301100
722522664655300
oct3300617521034
9734823023310
10232033002012
118a44a642789
1238b77471790
1318b5a944b36
14b332535d00
1560807ce1ac
hex36063ea21c

232033002012 has 108 divisors (see below), whose sum is σ = 682407944400. Its totient is φ = 66283443072.

The previous prime is 232033002011. The next prime is 232033002031. The reversal of 232033002012 is 210200330232.

It is a happy number.

232033002012 is a `hidden beast` number, since 2 + 320 + 330 + 0 + 2 + 0 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232033002011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17310489 + ... + 17323887.

Almost surely, 2232033002012 is an apocalyptic number.

It is an amenable number.

232033002012 is an abundant number, since it is smaller than the sum of its proper divisors (450374942388).

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

232033002012 is a wasteful number, since it uses less digits than its factorization.

232033002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23240 (or 23228 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232033002012 its reverse (210200330232), we get a palindrome (442233332244).

The spelling of 232033002012 in words is "two hundred thirty-two billion, thirty-three million, two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 9817 13399 19634 26798 29451 39268 40197 53596 58902 68719 80394 88353 93793 117804 120591 137438 160788 176706 187586 206157 241182 274876 281379 353412 375172 412314 481033 482364 562758 618471 656551 824628 844137 962066 1125516 1236942 1313102 1443099 1688274 1924132 1969653 2473884 2626204 2886198 3376548 3939306 4329297 5772396 5908959 7878612 8658594 11817918 17317188 23635836 131537983 263075966 394613949 526151932 789227898 920765881 1183841847 1578455796 1841531762 2367683694 2762297643 3683063524 4735367388 5524595286 6445361167 8286892929 11049190572 12890722334 16573785858 19336083501 25781444668 33147571716 38672167002 58008250503 77344334004 116016501006 232033002012