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22111122111122 = 21173137283735423
BaseRepresentation
bin1010000011100001001011…
…00101000011101010010010
32220021210200010011111002002
411001300211211003222102
510344232034230023442
6115005413111354002
74441322134624262
oct501604545035222
986253603144062
1022111122111122
117055301aa56a0
12259134a082902
13c450ba667c85
14566280d477a2
1528526370d732
hex141c25943a92

22111122111122 has 64 divisors (see below), whose sum is σ = 36959262557184. Its totient is φ = 9836729072640.

The previous prime is 22111122111119. The next prime is 22111122111131.

It is a happy number.

22111122111122 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22111122111094 and 22111122111103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 624184703 + ... + 624220125.

It is an arithmetic number, because the mean of its divisors is an integer number (577488477456).

Almost surely, 222111122111122 is an apocalyptic number.

22111122111122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22111122111122 is a deficient number, since it is larger than the sum of its proper divisors (14848140446062).

22111122111122 is a wasteful number, since it uses less digits than its factorization.

22111122111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38483.

The product of its digits is 64, while the sum is 20.

It can be divided in two parts, 2211112 and 2111122, that added together give a palindrome (4322234).

The spelling of 22111122111122 in words is "twenty-two trillion, one hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 11 22 73 137 146 274 803 1507 1606 2837 3014 5674 10001 20002 31207 35423 62414 70846 110011 207101 220022 388669 389653 414202 777338 779306 2278111 2585879 4275359 4556222 4852951 5171758 8550718 9705902 28372837 28444669 53382461 56745674 56889338 100495051 106764922 200990102 312101207 354265423 624202414 708530846 1105445561 2210891122 3896919653 7336138723 7793839306 13767821987 14672277446 27535643974 80697525953 151446041857 161395051906 302892083714 1005051005051 2010102010102 11055561055561 22111122111122