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11122001220100 = 2252832933945673
BaseRepresentation
bin1010000111011000101011…
…1011101001001000000100
31110101020211101110210200211
42201312022323221020010
52424210324303020400
635353213221045204
72225352362351551
oct241661273511004
943336741423624
1011122001220100
1135a88a5814341
1212b7627856804
13628a530c1c14
142a64445b3a28
151444971b3dba
hexa1d8aee9204

11122001220100 has 72 divisors (see below), whose sum is σ = 24426890016480. Its totient is φ = 4394954446080.

The previous prime is 11122001220047. The next prime is 11122001220101. The reversal of 11122001220100 is 102210022111.

It is a super-2 number, since 2×111220012201002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11122001220101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 243490864 + ... + 243536536.

It is an arithmetic number, because the mean of its divisors is an integer number (339262361340).

Almost surely, 211122001220100 is an apocalyptic number.

11122001220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122001220100 is an abundant number, since it is smaller than the sum of its proper divisors (13304888796380).

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

11122001220100 is a wasteful number, since it uses less digits than its factorization.

11122001220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75109 (or 75102 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11122001220100 its reverse (102210022111), we get a palindrome (11224211242211).

The spelling of 11122001220100 in words is "eleven trillion, one hundred twenty-two billion, one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 4150 8300 29339 45673 58678 91346 117356 146695 182692 228365 293390 456730 586780 733475 913460 1141825 1466950 2283650 2435137 2933900 3790859 4567300 4870274 7581718 9740548 12175685 15163436 18954295 24351370 37908590 48702740 60878425 75817180 94771475 121756850 189542950 243513700 379085900 1340000147 2680000294 5360000588 6700000735 13400001470 26800002940 33500003675 67000007350 111220012201 134000014700 222440024402 444880048804 556100061005 1112200122010 2224400244020 2780500305025 5561000610050 11122001220100