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1122114112 = 2672357817
BaseRepresentation
bin100001011100010…
…0001101001000000
32220012110022011221
41002320201221000
54244230122422
6303202444424
736543545500
oct10270415100
92805408157
101122114112
11526449a39
12273963714
1314b624462
14a9057a00
15687a33c7
hex42e21a40

1122114112 has 42 divisors (see below), whose sum is σ = 2590244502. Its totient is φ = 480904704.

The previous prime is 1122114079. The next prime is 1122114131. The reversal of 1122114112 is 2114112211.

It can be written as a sum of positive squares in only one way, i.e., 1113957376 + 8156736 = 33376^2 + 2856^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 175773 + ... + 182044.

Almost surely, 21122114112 is an apocalyptic number.

It is an amenable number.

1122114112 is an abundant number, since it is smaller than the sum of its proper divisors (1468130390).

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

1122114112 is an equidigital number, since it uses as much as digits as its factorization.

1122114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357843 (or 357826 counting only the distinct ones).

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

The square root of 1122114112 is about 33497.9717594961. The cubic root of 1122114112 is about 1039.1518331246.

Adding to 1122114112 its reverse (2114112211), we get a palindrome (3236226323).

The spelling of 1122114112 in words is "one billion, one hundred twenty-two million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 357817 715634 1431268 2504719 2862536 5009438 5725072 10018876 11450144 17533033 20037752 22900288 35066066 40075504 70132132 80151008 140264264 160302016 280528528 561057056 1122114112