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112220211122001 = 3237271223575257
BaseRepresentation
bin11001100001000001001101…
…110100100000111101010001
3112201100010222110110200202200
4121201001031310200331101
5104202103443021401001
61034401130413233413
732431433305624563
oct3141011564407521
9481303873420680
10112220211122001
1132836362670294
1210705041792869
134a804221ac088
141d9d6b6c33333
15ce918a1d5086
hex66104dd20f51

112220211122001 has 72 divisors (see below), whose sum is σ = 169699526889984. Its totient is φ = 71444310094080.

The previous prime is 112220211121973. The next prime is 112220211122039. The reversal of 112220211122001 is 100221112022211.

112220211122001 is a `hidden beast` number, since 1 + 12 + 220 + 211 + 1 + 220 + 0 + 1 = 666.

It is not a de Polignac number, because 112220211122001 - 214 = 112220211105617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112220211122081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194790765 + ... + 195366021.

It is an arithmetic number, because the mean of its divisors is an integer number (2356937873472).

Almost surely, 2112220211122001 is an apocalyptic number.

It is an amenable number.

112220211122001 is a deficient number, since it is larger than the sum of its proper divisors (57479315767983).

112220211122001 is a wasteful number, since it uses less digits than its factorization.

112220211122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575631 (or 575591 counting only the distinct ones).

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

Adding to 112220211122001 its reverse (100221112022211), we get a palindrome (212441323144212).

The spelling of 112220211122001 in words is "one hundred twelve trillion, two hundred twenty billion, two hundred eleven million, one hundred twenty-two thousand, one".

Divisors: 1 3 9 37 71 111 213 223 333 639 669 1369 2007 2627 4107 7881 8251 12321 15833 23643 24753 47499 74259 97199 142497 291597 305287 575257 585821 874791 915861 1725771 1757463 2747583 5177313 5272389 21284509 21675377 40843247 63853527 65026131 122529741 128282311 191560581 195078393 367589223 384846933 787526833 1154540799 1511200139 2362580499 4533600417 4746445507 7087741497 9108044081 13600801251 14239336521 27324132243 42718009563 55914405143 81972396729 167743215429 175618483759 336997630997 503229646287 526855451277 1010992892991 1580566353831 3032978678973 12468912346889 37406737040667 112220211122001