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10011112121100 = 22352171962963161
BaseRepresentation
bin1001000110101110010011…
…0010000010001100001100
31022110001102121122111022010
42101223210302002030030
52303010224200333400
633143012540221220
72052164455664646
oct221534462021414
938401377574263
1010011112121100
11320a763892082
12115827923a810
1357807537b7cc
1426877cc67896
1512562a77d450
hex91ae4c8230c

10011112121100 has 72 divisors (see below), whose sum is σ = 30669336443088. Its totient is φ = 2512592844800.

The previous prime is 10011112121057. The next prime is 10011112121123. The reversal of 10011112121100 is 112121111001.

Adding to 10011112121100 its reverse (112121111001), we get a palindrome (10123233232101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 981476481 + ... + 981486680.

It is an arithmetic number, because the mean of its divisors is an integer number (425963006154).

Almost surely, 210011112121100 is an apocalyptic number.

10011112121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011112121100 is an abundant number, since it is smaller than the sum of its proper divisors (20658224321988).

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

10011112121100 is a wasteful number, since it uses less digits than its factorization.

10011112121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962963195 (or 1962963188 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

The spelling of 10011112121100 in words is "ten trillion, eleven billion, one hundred twelve million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 1962963161 3925926322 5888889483 7851852644 9814815805 11777778966 19629631610 23555557932 29444447415 33370373737 39259263220 49074079025 58888894830 66740747474 98148158050 100111121211 117777789660 133481494948 147222237075 166851868685 196296316100 200222242422 294444474150 333703737370 400444484844 500555606055 588888948300 667407474740 834259343425 1001111212110 1668518686850 2002222424220 2502778030275 3337037373700 5005556060550 10011112121100