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1112101120 = 2851325397
BaseRepresentation
bin100001001001001…
…0101000100000000
32212111121120221101
41002102111010000
54234144213440
6302204104144
736362463214
oct10222250400
92774546841
101112101120
11520830039
12270535054
13149529a00
14a79ac944
156797669a
hex42495100

1112101120 has 216 divisors, whose sum is σ = 2969224776. Its totient is φ = 398721024.

The previous prime is 1112101117. The next prime is 1112101127. The reversal of 1112101120 is 211012111.

It can be written as a sum of positive squares in 12 ways, for example, as 533794816 + 578306304 = 23104^2 + 24048^2 .

It is a super-2 number, since 2×11121011202 = 2473537802210508800, which contains 22 as substring.

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 = 1112101097 and 1112101106.

It is not an unprimeable number, because it can be changed into a prime (1112101127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11464912 + ... + 11465008.

It is an arithmetic number, because the mean of its divisors is an integer number (13746411).

Almost surely, 21112101120 is an apocalyptic number.

1112101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484612388).

1112101120 is an abundant number, since it is smaller than the sum of its proper divisors (1857123656).

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

1112101120 is an equidigital number, since it uses as much as digits as its factorization.

1112101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1112101120 is about 33348.1801602426. The cubic root of 1112101120 is about 1036.0516961130.

Adding to 1112101120 its reverse (211012111), we get a palindrome (1323113231).

The spelling of 1112101120 in words is "one billion, one hundred twelve million, one hundred one thousand, one hundred twenty".