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111100021222212 = 223211237689325821
BaseRepresentation
bin11001010000101101111101…
…010011001010101101000100
3112120101001120111112202020200
4121100231331103022231010
5104030230320413102322
61032142351204130500
732254466044603461
oct3120557523125504
9476331514482220
10111100021222212
1132444288676800
1210563b18396a30
1349cb8c159a249
141d613ac170668
15cc9e76ea68ac
hex650b7d4cab44

111100021222212 has 108 divisors (see below), whose sum is σ = 317030596099308. Its totient is φ = 32756762966400.

The previous prime is 111100021222207. The next prime is 111100021222213. The reversal of 111100021222212 is 212222120001111.

111100021222212 is a `hidden beast` number, since 111 + 100 + 0 + 21 + 222 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102772271927556 + 8327749294656 = 10137666^2 + 2885784^2 .

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

It is not an unprimeable number, because it can be changed into a prime (111100021222213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 344501739 + ... + 344824082.

It is an arithmetic number, because the mean of its divisors is an integer number (2935468482401).

Almost surely, 2111100021222212 is an apocalyptic number.

111100021222212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111100021222212 is an abundant number, since it is smaller than the sum of its proper divisors (205930574877096).

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

111100021222212 is a wasteful number, since it uses less digits than its factorization.

111100021222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689325890 (or 689325874 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111100021222212 its reverse (212222120001111), we get a palindrome (323322141223323).

The spelling of 111100021222212 in words is "one hundred eleven trillion, one hundred billion, twenty-one million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 121 132 148 198 222 242 333 363 396 407 444 484 666 726 814 1089 1221 1332 1452 1628 2178 2442 3663 4356 4477 4884 7326 8954 13431 14652 17908 26862 40293 53724 80586 161172 689325821 1378651642 2067977463 2757303284 4135954926 6203932389 7582584031 8271909852 12407864778 15165168062 22747752093 24815729556 25505055377 30330336124 45495504186 51010110754 68243256279 76515166131 83408424341 90991008372 102020221508 136486512558 153030332262 166816848682 229545498393 250225273023 272973025116 280555609147 306060664524 333633697364 459090996786 500450546046 561111218294 750675819069 841666827441 918181993572 1000901092092 1122222436588 1501351638138 1683333654882 2525000482323 3002703276276 3086111700617 3366667309764 5050000964646 6172223401234 9258335101851 10100001929292 12344446802468 18516670203702 27775005305553 37033340407404 55550010611106 111100021222212