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211112120112201 = 34711175919242947
BaseRepresentation
bin110000000000000101011110…
…111011010101010001001001
31000200111010021122001120110000
4300000011132323111101021
5210132330110222042301
62024555322532113213
762316230065652550
oct6000053673252111
91020433248046400
10211112120112201
11612a3169138010
121b816b39a65809
1390a4a311c0199
143a1bc49b82d97
15196179da2c786
hexc0015eed5449

211112120112201 has 80 divisors (see below), whose sum is σ = 393405907783680. Its totient is φ = 109606280980320.

The previous prime is 211112120112139. The next prime is 211112120112203. The reversal of 211112120112201 is 102211021211112.

It is a happy number.

211112120112201 is a `hidden beast` number, since 211 + 1 + 121 + 20 + 112 + 201 = 666.

It is not a de Polignac number, because 211112120112201 - 225 = 211112086557769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211112120112203) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1349410 + ... + 20592356.

It is an arithmetic number, because the mean of its divisors is an integer number (4917573847296).

Almost surely, 2211112120112201 is an apocalyptic number.

211112120112201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211112120112201 is a deficient number, since it is larger than the sum of its proper divisors (182293787671479).

211112120112201 is a wasteful number, since it uses less digits than its factorization.

211112120112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19244736 (or 19244727 counting only the distinct ones).

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

Adding to 211112120112201 its reverse (102211021211112), we get a palindrome (313323141323313).

The spelling of 211112120112201 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred twenty million, one hundred twelve thousand, two hundred one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 297 567 693 891 1759 2079 5277 6237 12313 15831 19349 36939 47493 58047 110817 135443 142479 174141 332451 406329 522423 997353 1218987 1567269 3656961 10970883 19242947 57728841 134700629 173186523 211672417 404101887 519559569 635017251 1212305661 1481706919 1558678707 1905051753 3636916983 4445120757 5715155259 10910750949 13335362271 17145465777 33848343773 40006086813 101545031319 120018260439 236938406411 304635093957 372331781503 710815219233 913905281871 1116995344509 2132445657699 2606322470521 2741715845613 3350986033527 6397336973097 7818967411563 10052958100581 19192010919291 23456902234689 30158874301743 70370706704067 211112120112201