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1100201122120 = 23590730325279
BaseRepresentation
bin10000000000101001000…
…110001101100101001000
310220011210220111211102011
4100000221012031211020
5121011202441401440
62201231520145304
7142326003144262
oct20005106154510
93804726454364
101100201122120
11394657940021
12159287168234
137c996666249
143b37009cb32
151d94347c9ea
hex1002918d948

1100201122120 has 32 divisors (see below), whose sum is σ = 2478181881600. Its totient is φ = 439595229888.

The previous prime is 1100201122081. The next prime is 1100201122243. The reversal of 1100201122120 is 212211020011.

It is a super-2 number, since 2×11002011221202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1100201122120.

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 7 ways as a sum of consecutive naturals, for example, 15126360 + ... + 15198919.

It is an arithmetic number, because the mean of its divisors is an integer number (77443183800).

Almost surely, 21100201122120 is an apocalyptic number.

1100201122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100201122120 is an abundant number, since it is smaller than the sum of its proper divisors (1377980759480).

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

1100201122120 is a wasteful number, since it uses less digits than its factorization.

1100201122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30326197 (or 30326193 counting only the distinct ones).

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

Adding to 1100201122120 its reverse (212211020011), we get a palindrome (1312412142131).

The spelling of 1100201122120 in words is "one trillion, one hundred billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 907 1814 3628 4535 7256 9070 18140 36280 30325279 60650558 121301116 151626395 242602232 303252790 606505580 1213011160 27505028053 55010056106 110020112212 137525140265 220040224424 275050280530 550100561060 1100201122120