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211321363123112 = 231122291511630911
BaseRepresentation
bin110000000011001000010110…
…110010000100101110101000
31000201020010101010200212020212
4300003020112302010232220
5210144242122424414422
62025235405524040252
762340315243133334
oct6003102662045650
91021203333625225
10211321363123112
116137398338a100
121b84b5b4b33088
1390bb699425a88
143a280196567c4
151966e486819e2
hexc03216c84ba8

211321363123112 has 96 divisors (see below), whose sum is σ = 437714884454400. Its totient is φ = 95572265712000.

The previous prime is 211321363123111. The next prime is 211321363123121.

It is a happy number.

211321363123112 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (211321363123111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334630937 + ... + 335261847.

It is an arithmetic number, because the mean of its divisors is an integer number (4559530046400).

Almost surely, 2211321363123112 is an apocalyptic number.

211321363123112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211321363123112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218857442227200).

211321363123112 is an abundant number, since it is smaller than the sum of its proper divisors (226393521331288).

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

211321363123112 is a wasteful number, since it uses less digits than its factorization.

211321363123112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632679 (or 632664 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The spelling of 211321363123112 in words is "two hundred eleven trillion, three hundred twenty-one billion, three hundred sixty-three million, one hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 229 242 458 484 916 968 1511 1832 2519 3022 5038 6044 10076 12088 16621 20152 27709 33242 55418 66484 110836 132968 182831 221672 346019 365662 630911 692038 731324 1261822 1384076 1462648 2523644 2768152 3806209 5047288 6940021 7612418 13880042 15224836 27760084 30449672 41868299 55520168 76340231 83736598 144478619 152680462 167473196 288957238 305360924 334946392 577914476 610721848 953306521 1155828952 1589264809 1906613042 3178529618 3813226084 6357059236 7626452168 10486371731 12714118472 17481912899 20972743462 34963825798 41945486924 69927651596 83890973848 115350089041 139855303192 218307193309 230700178082 436614386618 461400356164 873228773236 922800712328 1746457546472 2401379126399 4802758252798 9605516505596 19211033011192 26415170390389 52830340780778 105660681561556 211321363123112