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11220122220100 = 2252229489961669
BaseRepresentation
bin1010001101000110001101…
…1001100011011001000100
31110201122002121110001111221
42203101203121203121010
52432312302242020400
635510241502410124
72235425042163133
oct243214331433104
943648077401457
1011220122220100
113636477537982
121312650290944
1363508c541431
142ab0b1c7591a
15146cdb48cc1a
hexa3463663644

11220122220100 has 36 divisors (see below), whose sum is σ = 24453986949700. Its totient is φ = 4468450412160.

The previous prime is 11220122220077. The next prime is 11220122220133. The reversal of 11220122220100 is 102222102211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 187414531396 + 11032707688704 = 432914^2 + 3321552^2 .

It is a super-2 number, since 2×112201222201002 (a number of 27 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 244957935 + ... + 245003734.

Almost surely, 211220122220100 is an apocalyptic number.

11220122220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220122220100 is an abundant number, since it is smaller than the sum of its proper divisors (13233864729600).

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

11220122220100 is a wasteful number, since it uses less digits than its factorization.

11220122220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489961912 (or 489961905 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11220122220100 its reverse (102222102211), we get a palindrome (11322344322311).

The spelling of 11220122220100 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 229 458 916 1145 2290 4580 5725 11450 22900 489961669 979923338 1959846676 2449808345 4899616690 9799233380 12249041725 24498083450 48996166900 112201222201 224402444402 448804888804 561006111005 1122012222010 2244024444020 2805030555025 5610061110050 11220122220100