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111112102201212 = 2232717213712136889
BaseRepresentation
bin11001010000111001001101…
…011000011100011101111100
3112120102012202110001001220100
4121100321031120130131330
5104030430041130414322
61032152110045321100
732255404321331550
oct3120711530343574
9476365673031810
10111112102201212
1132449418008072
121056632a266190
1349cca98445928
141d61bd682b860
15cca4328c0dac
hex650e4d61c77c

111112102201212 has 144 divisors (see below), whose sum is σ = 340031382425280. Its totient is φ = 29864900468736.

The previous prime is 111112102201193. The next prime is 111112102201237. The reversal of 111112102201212 is 212102201211111.

It is a happy number.

111112102201212 is a `hidden beast` number, since 1 + 1 + 111 + 210 + 220 + 121 + 2 = 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 47 ways as a sum of consecutive naturals, for example, 3086464 + ... + 15223352.

It is an arithmetic number, because the mean of its divisors is an integer number (2361329044620).

Almost surely, 2111112102201212 is an apocalyptic number.

111112102201212 is a gapful number since it is divisible by the number (12) 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 111112102201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170015691212640).

111112102201212 is an abundant number, since it is smaller than the sum of its proper divisors (228919280224068).

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

111112102201212 is a wasteful number, since it uses less digits than its factorization.

111112102201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12139060 (or 12139055 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 111112102201212 its reverse (212102201211111), we get a palindrome (323214303412323).

The spelling of 111112102201212 in words is "one hundred eleven trillion, one hundred twelve billion, one hundred two million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2137 2142 4274 4284 6411 8548 12822 14959 19233 25644 29918 36329 38466 44877 59836 72658 76932 89754 108987 134631 145316 179508 217974 254303 269262 326961 435948 508606 538524 653922 762909 1017212 1307844 1525818 2288727 3051636 4577454 9154908 12136889 24273778 36410667 48547556 72821334 84958223 109232001 145642668 169916446 206327113 218464002 254874669 339832892 412654226 436928004 509749338 618981339 764624007 825308452 1019498676 1237962678 1444289791 1529248014 1856944017 2475925356 2888579582 3058496028 3713888034 4332869373 5777159164 7427776068 8665738746 12998608119 17331477492 25936531793 25997216238 51873063586 51994432476 77809595379 103746127172 155619190758 181555722551 233428786137 311238381516 363111445102 440921040481 466857572274 544667167653 726222890204 881842080962 933715144548 1089334335306 1322763121443 1634001502959 1763684161924 2178668670612 2645526242886 3086447283367 3268003005918 3968289364329 5291052485772 6172894566734 6536006011836 7936578728658 9259341850101 12345789133468 15873157457316 18518683700202 27778025550303 37037367400404 55556051100606 111112102201212