Search a number
-
+
1121112312 = 233127367819
BaseRepresentation
bin100001011010010…
…1101000011111000
32220010120101222020
41002310231003320
54244001043222
6303125154440
736532204005
oct10264550370
92803511866
101121112312
11525925301
1227355ba20
1314b363488
14a8c768ac
156865665c
hex42d2d0f8

1121112312 has 32 divisors (see below), whose sum is σ = 2824857600. Its totient is φ = 370760544.

The previous prime is 1121112257. The next prime is 1121112389. The reversal of 1121112312 is 2132111211.

It is a super-2 number, since 2×11211123122 = 2513785632235970688, which contains 22 as substring.

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 a junction number, because it is equal to n+sod(n) for n = 1121112291 and 1121112300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180862 + ... + 186957.

It is an arithmetic number, because the mean of its divisors is an integer number (88276800).

Almost surely, 21121112312 is an apocalyptic number.

1121112312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1121112312 is an abundant number, since it is smaller than the sum of its proper divisors (1703745288).

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

1121112312 is a wasteful number, since it uses less digits than its factorization.

1121112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367955 (or 367951 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 1121112312 is about 33483.0152764054. The cubic root of 1121112312 is about 1038.8424967122.

Adding to 1121112312 its reverse (2132111211), we get a palindrome (3253223523).

The spelling of 1121112312 in words is "one billion, one hundred twenty-one million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 127 254 381 508 762 1016 1524 3048 367819 735638 1103457 1471276 2206914 2942552 4413828 8827656 46713013 93426026 140139039 186852052 280278078 373704104 560556156 1121112312