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200101220212212 = 223311223755315563
BaseRepresentation
bin101101011111110110110010…
…001001100101110111110100
3222020111111020002022121022000
4231133312302021211313310
5202211424244333242322
61545325122001535300
760101556530033154
oct5537666211456764
9866444202277260
10200101220212212
11588384a61aa9a0
121a538b59944530
13878660581b987
14375ad44b56764
15182015a4a83ac
hexb5fdb2265df4

200101220212212 has 96 divisors (see below), whose sum is σ = 568480706088960. Its totient is φ = 60364819715040.

The previous prime is 200101220212151. The next prime is 200101220212213. The reversal of 200101220212212 is 212212022101002.

It is a happy number.

200101220212212 is a `hidden beast` number, since 20 + 0 + 1 + 0 + 1 + 220 + 212 + 212 = 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 (200101220212213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377392858 + ... + 377922705.

It is an arithmetic number, because the mean of its divisors is an integer number (5921674021760).

Almost surely, 2200101220212212 is an apocalyptic number.

200101220212212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

200101220212212 is an abundant number, since it is smaller than the sum of its proper divisors (368379485876748).

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

200101220212212 is a wasteful number, since it uses less digits than its factorization.

200101220212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755315810 (or 755315802 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200101220212212 its reverse (212212022101002), we get a palindrome (412313242313214).

The spelling of 200101220212212 in words is "two hundred trillion, one hundred one billion, two hundred twenty million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 223 297 396 446 594 669 892 1188 1338 2007 2453 2676 4014 4906 6021 7359 8028 9812 12042 14718 22077 24084 29436 44154 66231 88308 132462 264924 755315563 1510631126 2265946689 3021262252 4531893378 6797840067 8308471193 9063786756 13595680134 16616942386 20393520201 24925413579 27191360268 33233884772 40787040402 49850827158 74776240737 81574080804 99701654316 149552481474 168435370549 224328722211 299104962948 336870741098 448657444422 505306111647 673741482196 897314888844 1010612223294 1515918334941 1852789076039 2021224446588 3031836669882 3705578152078 4547755004823 5558367228117 6063673339764 7411156304156 9095510009646 11116734456234 16675101684351 18191020019292 22233468912468 33350203368702 50025305053053 66700406737404 100050610106106 200101220212212