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112021212102111 = 32137970199717341
BaseRepresentation
bin11001011110000111111000…
…100011011111110111011111
3112200122010022212201001211200
4121132013320203133313133
5104140323420244231421
61034125500121450543
732411160031103124
oct3136077043376737
9480563285631750
10112021212102111
1132769a24932284
1210692565340a53
134a6772a381230
141d93bd9a7674b
15ce3ddea87726
hex65e1f88dfddf

112021212102111 has 96 divisors (see below), whose sum is σ = 176900153713920. Its totient is φ = 67894339968000.

The previous prime is 112021212102073. The next prime is 112021212102157. The reversal of 112021212102111 is 111201212120211.

It is a happy number.

112021212102111 is a `hidden beast` number, since 1 + 120 + 2 + 121 + 210 + 211 + 1 = 666.

It is not a de Polignac number, because 112021212102111 - 26 = 112021212102047 is a prime.

It is a super-2 number, since 2×1120212121021112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112021212102311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6459896301 + ... + 6459913641.

It is an arithmetic number, because the mean of its divisors is an integer number (1842709934520).

Almost surely, 2112021212102111 is an apocalyptic number.

112021212102111 is a deficient number, since it is larger than the sum of its proper divisors (64878941611809).

112021212102111 is a wasteful number, since it uses less digits than its factorization.

112021212102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19137 (or 19134 counting only the distinct ones).

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

Adding to 112021212102111 its reverse (111201212120211), we get a palindrome (223222424222322).

The spelling of 112021212102111 in words is "one hundred twelve trillion, twenty-one billion, two hundred twelve million, one hundred two thousand, one hundred eleven".

Divisors: 1 3 9 13 39 79 117 237 701 711 997 1027 2103 2991 3081 6309 8973 9113 9243 12961 17341 27339 38883 52023 55379 78763 82017 116649 156069 166137 225433 236289 498411 676299 698897 708867 719927 1023919 1369939 2028897 2096691 2159781 3071757 4109817 6290073 6479343 9085661 9215271 12156041 12329451 17288977 17809207 27256983 36468123 51866931 53427621 55212863 81770949 109404369 155600793 158028533 160282863 165638589 224756701 474085599 496915767 674270103 717767219 960327239 1365829183 1422256797 2022810309 2153301657 2880981717 4097487549 6459904971 8642945151 12119572877 12292462647 12484254107 17755779379 36358718631 37452762321 53267338137 109076155893 112358286963 157554447401 159802014411 472663342203 957446257283 1417990026609 2872338771849 8617016315547 12446801344679 37340404034037 112021212102111