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2112111000112 = 241719221510011
BaseRepresentation
bin11110101111000011101…
…000000011101000110000
321110220201122110202002111
4132233003220003220300
5234101100404000422
64254142420455104
7305411036165551
oct36570350035060
97426648422074
102112111000112
11744817662593
122a141184a494
1312422c200c69
1474326184328
1539e1a5b1a77
hex1ebc3a03a30

2112111000112 has 60 divisors (see below), whose sum is σ = 4572985531176. Its totient is φ = 941622197760.

The previous prime is 2112111000107. The next prime is 2112111000121. The reversal of 2112111000112 is 2110001112112.

It is a happy number.

It is a super-2 number, since 2×21121110001122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112111000092 and 2112111000101.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10656814 + ... + 10853197.

Almost surely, 22112111000112 is an apocalyptic number.

It is an amenable number.

2112111000112 is an abundant number, since it is smaller than the sum of its proper divisors (2460874531064).

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

2112111000112 is a wasteful number, since it uses less digits than its factorization.

2112111000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21510074 (or 21510049 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2112111000112 its reverse (2110001112112), we get a palindrome (4222112112224).

The spelling of 2112111000112 in words is "two trillion, one hundred twelve billion, one hundred eleven million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 361 646 722 1292 1444 2584 2888 5168 5776 6137 12274 24548 49096 98192 21510011 43020022 86040044 172080088 344160176 365670187 408690209 731340374 817380418 1462680748 1634760836 2925361496 3269521672 5850722992 6539043344 6947733553 7765113971 13895467106 15530227942 27790934212 31060455884 55581868424 62120911768 111163736848 124241823536 132006937507 264013875014 528027750028 1056055500056 2112111000112