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200012122332 = 2232113717337877
BaseRepresentation
bin1011101001000110100…
…1101100100011011100
3201010021012002120012200
42322101221230203130
511234111100403312
6231515001531500
720310325663041
oct2722151544334
9633235076180
10200012122332
11779086a0960
123291b7a3b90
1315b269a4a59
1499759591c8
15530956b0dc
hex2e91a6c8dc

200012122332 has 144 divisors (see below), whose sum is σ = 566854116192. Its totient is φ = 58930122240.

The previous prime is 200012122307. The next prime is 200012122339. The reversal of 200012122332 is 233221210002.

200012122332 is a `hidden beast` number, since 200 + 0 + 12 + 122 + 332 = 666.

200012122332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (200012122339) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 25387978 + ... + 25395854.

It is an arithmetic number, because the mean of its divisors is an integer number (3936486918).

Almost surely, 2200012122332 is an apocalyptic number.

200012122332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200012122332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283427058096).

200012122332 is an abundant number, since it is smaller than the sum of its proper divisors (366841993860).

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

200012122332 is a wasteful number, since it uses less digits than its factorization.

200012122332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668 (or 9663 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200012122332 its reverse (233221210002), we get a palindrome (433233332334).

The spelling of 200012122332 in words is "two hundred billion, twelve million, one hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 1733 2442 3466 3663 4884 5199 6932 7326 7877 10398 14652 15597 15754 19063 20796 23631 31194 31508 38126 47262 57189 62388 64121 70893 76252 86647 94524 114378 128242 141786 171567 173294 192363 228756 256484 259941 283572 291449 343134 346588 384726 519882 577089 582898 686268 705331 769452 779823 874347 1039764 1154178 1165796 1410662 1559646 1748694 2115993 2308356 2623041 2821324 3119292 3205939 3497388 4231986 5246082 6347979 6411878 8463972 9617817 10492164 12695958 12823756 13650841 19235634 25391916 27301682 28853451 38471268 40952523 54603364 57706902 81905046 115413804 122857569 150159251 163810092 245715138 300318502 450477753 491430276 505081117 600637004 900955506 1010162234 1351433259 1515243351 1801911012 2020324468 2702866518 3030486702 4545730053 5405733036 5555892287 6060973404 9091460106 11111784574 16667676861 18182920212 22223569148 33335353722 50003030583 66670707444 100006061166 200012122332