Search a number
-
+
1112110100100 = 2232521235677889
BaseRepresentation
bin10000001011101110111…
…011010110111010000100
310221022112212100121000200
4100023232323112322010
5121210100141200400
62210521335010500
7143230060610556
oct20135673267204
93838485317020
101112110100100
1139970918248a
1215b64b509a30
1380b439ab88c
143bb7d9854d6
151ddddc1db00
hex102eeed6e84

1112110100100 has 54 divisors (see below), whose sum is σ = 3485847327690. Its totient is φ = 296562693120.

The previous prime is 1112110100029. The next prime is 1112110100119. The reversal of 1112110100100 is 10010112111.

It can be written as a sum of positive squares in 3 ways, for example, as 42660423936 + 1069449676164 = 206544^2 + 1034142^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 617838045 + ... + 617839844.

Almost surely, 21112110100100 is an apocalyptic number.

1112110100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1112110100100 is an abundant number, since it is smaller than the sum of its proper divisors (2373737227590).

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

1112110100100 is a wasteful number, since it uses less digits than its factorization.

1112110100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235677909 (or 1235677899 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1112110100100 its reverse (10010112111), we get a palindrome (1122120212211).

The spelling of 1112110100100 in words is "one trillion, one hundred twelve billion, one hundred ten million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1235677889 2471355778 3707033667 4942711556 6178389445 7414067334 11121101001 12356778890 14828134668 18535168335 22242202002 24713557780 30891947225 37070336670 44484404004 55605505005 61783894450 74140673340 92675841675 111211010010 123567788900 185351683350 222422020020 278027525025 370703366700 556055050050 1112110100100