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12220022101014 = 23271316194607987
BaseRepresentation
bin1011000111010011001000…
…0100111001010000010110
31121021020000100110220102200
42301310302010321100112
53100203101124213024
641553444535145330
72400603353012610
oct261646204712026
947236010426380
1012220022101014
11399153399a922
1214543a4815246
136a845cb541c0
14303648c99db0
15162d0e0292c9
hexb1d32139416

12220022101014 has 96 divisors (see below), whose sum is σ = 32606860366080. Its totient is φ = 3220871622336.

The previous prime is 12220022101003. The next prime is 12220022101121. The reversal of 12220022101014 is 41010122002221.

It is a super-2 number, since 2×122200221010142 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347929 + ... + 4955915.

It is an arithmetic number, because the mean of its divisors is an integer number (339654795480).

Almost surely, 212220022101014 is an apocalyptic number.

12220022101014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220022101014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303430183040).

12220022101014 is an abundant number, since it is smaller than the sum of its proper divisors (20386838265066).

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

12220022101014 is a wasteful number, since it uses less digits than its factorization.

12220022101014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609634 (or 4609631 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12220022101014 its reverse (41010122002221), we get a palindrome (53230144103235).

The spelling of 12220022101014 in words is "twelve trillion, two hundred twenty billion, twenty-two million, one hundred one thousand, fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1619 1638 3238 4857 9714 11333 14571 21047 22666 29142 33999 42094 63141 67998 101997 126282 147329 189423 203994 294658 378846 441987 883974 1325961 2651922 4607987 9215974 13823961 27647922 32255909 41471883 59903831 64511818 82943766 96767727 119807662 179711493 193535454 290303181 359422986 419326817 539134479 580606362 838653634 1078268958 1257980451 2515960902 3773941353 7460330953 7547882706 14920661906 22380992859 44761985718 52222316671 67142978577 96984302389 104444633342 134285957154 156666950013 193968604778 290952907167 313333900026 470000850039 581905814334 678890116723 872858721501 940001700078 1357780233446 1745717443002 2036670350169 4073340700338 6110011050507 12220022101014