Search a number
-
+
1112110222120 = 235171635456209
BaseRepresentation
bin10000001011101110111…
…011110100101100101000
310221022112212120210101221
4100023232323310230220
5121210100204101440
62210521341351424
7143230061626402
oct20135673645450
93838485523357
101112110222120
11399709256127
1215b64b568574
1380b43a22291
143bb7d9b7b72
151ddddc44d4a
hex102eeef4b28

1112110222120 has 32 divisors (see below), whose sum is σ = 2649439060200. Its totient is φ = 418676789248.

The previous prime is 1112110222087. The next prime is 1112110222123. The reversal of 1112110222120 is 212220112111.

It can be written as a sum of positive squares in 4 ways, for example, as 1111324989636 + 785232484 = 1054194^2 + 28022^2 .

It is a super-2 number, since 2×11121102221202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1112110222094 and 1112110222103.

It is not an unprimeable number, because it can be changed into a prime (1112110222123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 817727425 + ... + 817728784.

Almost surely, 21112110222120 is an apocalyptic number.

1112110222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1112110222120 is an abundant number, since it is smaller than the sum of its proper divisors (1537328838080).

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

1112110222120 is a wasteful number, since it uses less digits than its factorization.

1112110222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635456237 (or 1635456233 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1112110222120 its reverse (212220112111), we get a palindrome (1324330334231).

The spelling of 1112110222120 in words is "one trillion, one hundred twelve billion, one hundred ten million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1635456209 3270912418 6541824836 8177281045 13083649672 16354562090 27802755553 32709124180 55605511106 65418248360 111211022212 139013777765 222422044424 278027555530 556055111060 1112110222120