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112022122101012 = 223216937183723541
BaseRepresentation
bin11001011110001000101110…
…110010110111100100010100
3112200122012200022000210122200
4121132020232302313210110
5104140332301224213022
61034130130310124500
732411221421005134
oct3136105662674424
9480565608023580
10112022122101012
113276a351573992
121069277a050730
134a67843a68b16
141d93c84876ac4
15ce3e448dbbac
hex65e22ecb7914

112022122101012 has 36 divisors (see below), whose sum is σ = 283183751250036. Its totient is φ = 37338502481280.

The previous prime is 112022122100989. The next prime is 112022122101061. The reversal of 112022122101012 is 210101221220211.

112022122101012 is a `hidden beast` number, since 1 + 120 + 221 + 221 + 0 + 101 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31929574191876 + 80092547909136 = 5650626^2 + 8949444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 91252039 + ... + 92471502.

It is an arithmetic number, because the mean of its divisors is an integer number (7866215312501).

Almost surely, 2112022122101012 is an apocalyptic number.

112022122101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112022122101012 is an abundant number, since it is smaller than the sum of its proper divisors (171161629149024).

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

112022122101012 is a wasteful number, since it uses less digits than its factorization.

112022122101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183740488 (or 183740483 counting only the distinct ones).

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

Adding to 112022122101012 its reverse (210101221220211), we get a palindrome (322123343321223).

The spelling of 112022122101012 in words is "one hundred twelve trillion, twenty-two billion, one hundred twenty-two million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 16937 33874 50811 67748 101622 152433 203244 304866 609732 183723541 367447082 551170623 734894164 1102341246 1653511869 2204682492 3307023738 6614047476 3111725613917 6223451227834 9335176841751 12446902455668 18670353683502 28005530525253 37340707367004 56011061050506 112022122101012