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22101114012066 = 2321227839667337
BaseRepresentation
bin1010000011001110100010…
…00011001100000110100010
32220020211211122011101010200
411001213101003030012202
510344101040141341231
6115001040035210030
74440516131321025
oct501472103140642
986224748141120
1022101114012066
117051036759751
12258b416446916
13c441840a327b
145659b1ab71bc
15284d79ca0be6
hex1419d10cc1a2

22101114012066 has 12 divisors (see below), whose sum is σ = 47885747026182. Its totient is φ = 7367038004016.

The previous prime is 22101114012013. The next prime is 22101114012067. The reversal of 22101114012066 is 66021041110122.

22101114012066 is a `hidden beast` number, since 221 + 0 + 1 + 11 + 401 + 20 + 6 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14246631329841 + 7854482682225 = 3774471^2 + 2802585^2 .

It is not an unprimeable number, because it can be changed into a prime (22101114012067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 613919833651 + ... + 613919833686.

Almost surely, 222101114012066 is an apocalyptic number.

22101114012066 is an abundant number, since it is smaller than the sum of its proper divisors (25784633014116).

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

22101114012066 is a wasteful number, since it uses less digits than its factorization.

22101114012066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227839667345 (or 1227839667342 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 22101114012066 its reverse (66021041110122), we get a palindrome (88122155122188).

The spelling of 22101114012066 in words is "twenty-two trillion, one hundred one billion, one hundred fourteen million, twelve thousand, sixty-six".

Divisors: 1 2 3 6 9 18 1227839667337 2455679334674 3683519002011 7367038004022 11050557006033 22101114012066