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2112211101012 = 223617382348029
BaseRepresentation
bin11110101111001001100…
…101111010010101010100
321110220222121211101201020
4132233021211322111110
5234101302020213022
64254200354201140
7305413363061115
oct36571145722524
97426877741636
102112211101012
11744869112901
122a143b2831b0
13124246b7b66c
14743355a020c
1539e2428635c
hex1ebc997a554

2112211101012 has 96 divisors (see below), whose sum is σ = 5084183758080. Its totient is φ = 682197396480.

The previous prime is 2112211101001. The next prime is 2112211101031. The reversal of 2112211101012 is 2101011122112.

It is a happy number.

It is a super-2 number, since 2×21122111010122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112211100982 and 2112211101000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43953814 + ... + 44001842.

It is an arithmetic number, because the mean of its divisors is an integer number (52960247480).

Almost surely, 22112211101012 is an apocalyptic number.

It is an amenable number.

2112211101012 is an abundant number, since it is smaller than the sum of its proper divisors (2971972657068).

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

2112211101012 is a wasteful number, since it uses less digits than its factorization.

2112211101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48993 (or 48991 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2112211101012 its reverse (2101011122112), we get a palindrome (4213222223124).

The spelling of 2112211101012 in words is "two trillion, one hundred twelve billion, two hundred eleven million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 61 73 122 146 183 219 244 292 366 438 732 823 876 1646 2469 3292 4453 4938 8906 9876 13359 17812 26718 48029 50203 53436 60079 96058 100406 120158 144087 150609 180237 192116 200812 240316 288174 301218 360474 576348 602436 720948 2929769 3506117 3664819 5859538 7012234 7329638 8789307 10518351 10994457 11719076 14024468 14659276 17578614 21036702 21988914 35157228 39527867 42073404 43977828 79055734 118583601 158111468 213873137 237167202 427746274 474334404 641619411 855492548 1283238822 2411199887 2566477644 2885534291 4822399774 5771068582 7233599661 8656602873 9644799548 11542137164 14467199322 17313205746 28934398644 34626411492 176017591751 352035183502 528052775253 704070367004 1056105550506 2112211101012