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1100112020020 = 225132325476929
BaseRepresentation
bin10000000000100011110…
…010010100001000110100
310220011120200211222022101
4100000203302110020310
5121011012134120040
62201215014311444
7142323541611346
oct20004362241064
93804520758271
101100112020020
11394611612322
12159261358584
137c981069c00
143b362307296
151d93a72c09a
hex10023c94234

1100112020020 has 36 divisors (see below), whose sum is σ = 2501615683980. Its totient is φ = 406195206144.

The previous prime is 1100112020009. The next prime is 1100112020123. The reversal of 1100112020020 is 200202110011.

It can be written as a sum of positive squares in 6 ways, for example, as 82829991204 + 1017282028816 = 287802^2 + 1008604^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1100112019979 and 1100112020006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162735085 + ... + 162741844.

It is an arithmetic number, because the mean of its divisors is an integer number (69489324555).

Almost surely, 21100112020020 is an apocalyptic number.

1100112020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100112020020 is an abundant number, since it is smaller than the sum of its proper divisors (1401503663960).

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

1100112020020 is a wasteful number, since it uses less digits than its factorization.

1100112020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325476964 (or 325476949 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1100112020020 its reverse (200202110011), we get a palindrome (1300314130031).

The spelling of 1100112020020 in words is "one trillion, one hundred billion, one hundred twelve million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 325476929 650953858 1301907716 1627384645 3254769290 4231200077 6509538580 8462400154 16924800308 21156000385 42312000770 55005601001 84624001540 110011202002 220022404004 275028005005 550056010010 1100112020020