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112112002211211 = 3417243332933457
BaseRepresentation
bin11001011111011100011100…
…000100010001110110001011
3112200221210200012022110220000
4121133130130010101312023
5104143320340031224321
61034235313124534043
732420552633226552
oct3137343404216613
9480853605273800
10112112002211211
11327a4484548aa2
12106a8082851323
134a73168aa2392
141d9836d886d99
15ce6455485826
hex65f71c111d8b

112112002211211 has 120 divisors (see below), whose sum is σ = 182104481045520. Its totient is φ = 68686167932928.

The previous prime is 112112002211179. The next prime is 112112002211221. The reversal of 112112002211211 is 112112200211211.

It is a happy number.

112112002211211 is a `hidden beast` number, since 1 + 1 + 211 + 20 + 0 + 221 + 1 + 211 = 666.

It is not a de Polignac number, because 112112002211211 - 25 = 112112002211179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112112002211221) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3350911395 + ... + 3350944851.

It is an arithmetic number, because the mean of its divisors is an integer number (1517537342046).

Almost surely, 2112112002211211 is an apocalyptic number.

112112002211211 is a deficient number, since it is larger than the sum of its proper divisors (69992478834309).

112112002211211 is a wasteful number, since it uses less digits than its factorization.

112112002211211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36875 (or 36849 counting only the distinct ones).

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

Adding to 112112002211211 its reverse (112112200211211), we get a palindrome (224224202422422).

The spelling of 112112002211211 in words is "one hundred twelve trillion, one hundred twelve billion, two million, two hundred eleven thousand, two hundred eleven".

Divisors: 1 3 9 17 27 43 51 81 129 153 289 387 459 731 867 1161 1377 2193 2601 3329 3483 6579 7803 9987 12427 19737 23409 29961 33457 37281 56593 59211 89883 100371 111843 143147 169779 269649 301113 335529 429441 509337 568769 903339 962081 1006587 1288323 1438651 1528011 1706307 2433499 2710017 2886243 3864969 4315953 4584033 5118921 7300497 8658729 9669073 11594907 12947859 15356763 21901491 24457067 25976187 29007219 38843577 41369483 46070289 65704473 73371201 77928561 87021657 111378353 116530731 124108449 197113419 220113603 261064971 334135059 372325347 415770139 660340809 783194913 1002405177 1116976041 1247310417 1893432001 1981022427 3007215531 3350928123 3741931251 4789269179 5680296003 9021646593 11225793753 14367807537 17040888009 32188344017 33677381259 43103422611 51122664027 81417576043 96565032051 129310267833 153367992081 244252728129 289695096153 387930803499 732758184387 869085288459 1384098792731 2198274553161 2607255865377 4152296378193 6594823659483 12456889134579 37370667403737 112112002211211