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212113232332110 = 23353770013032789
BaseRepresentation
bin110000001110101001110101…
…110111011000010101001110
31000211000211022212022121211000
4300032221311313120111032
5210300230344434111420
62031043250153241130
762451450430301334
oct6016516567302516
91024024285277730
10212113232332110
116164979796420a
121b958b704031a6
139148265a277c5
143a54499bc9b54
15197c842c40690
hexc0ea75dd854e

212113232332110 has 128 divisors (see below), whose sum is σ = 581005895068800. Its totient is φ = 55026905472000.

The previous prime is 212113232332091. The next prime is 212113232332159. The reversal of 212113232332110 is 11233232311212.

212113232332110 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 1 + 3 + 2 + 323 + 321 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68423596 + ... + 71456384.

It is an arithmetic number, because the mean of its divisors is an integer number (4539108555225).

Almost surely, 2212113232332110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212113232332110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290502947534400).

212113232332110 is an abundant number, since it is smaller than the sum of its proper divisors (368892662736690).

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

212113232332110 is a wasteful number, since it uses less digits than its factorization.

212113232332110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039843 (or 3039837 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 212113232332110 its reverse (11233232311212), we get a palindrome (223346464643322).

The spelling of 212113232332110 in words is "two hundred twelve trillion, one hundred thirteen billion, two hundred thirty-two million, three hundred thirty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4995 7001 9990 14002 21003 35005 42006 63009 70010 105015 126018 189027 210030 259037 315045 378054 518074 630090 777111 945135 1295185 1554222 1890270 2331333 2590370 3032789 3885555 4662666 6065578 6993999 7771110 9098367 11656665 13987998 15163945 18196734 23313330 27295101 30327890 34969995 45491835 54590202 69939990 81885303 90983670 112213193 136475505 163770606 224426386 272951010 336639579 409426515 561065965 673279158 818853030 1009918737 1122131930 1683197895 2019837474 3029756211 3366395790 5049593685 6059512422 10099187370 15148781055 21232555789 30297562110 42465111578 63697667367 106162778945 127395334734 191093002101 212325557890 318488336835 382186004202 573279006303 636976673670 785604564193 955465010505 1146558012606 1571209128386 1910930021010 2356813692579 2866395031515 3928022820965 4713627385158 5732790063030 7070441077737 7856045641930 11784068462895 14140882155474 21211323233211 23568136925790 35352205388685 42422646466422 70704410777370 106056616166055 212113232332110