Search a number
-
+
2122121112 = 23388421713
BaseRepresentation
bin111111001111100…
…1111111110011000
312110220010220220020
41332133033332120
513321230333422
6550324230440
7103405506006
oct17637177630
95426126806
102122121112
11999978001
124b283b420
1327a864887
14161ba7a76
15c648695c
hex7e7cff98

2122121112 has 16 divisors (see below), whose sum is σ = 5305302840. Its totient is φ = 707373696.

The previous prime is 2122121041. The next prime is 2122121119. The reversal of 2122121112 is 2111212212.

It is a super-2 number, since 2×21221211122 = 9006796027992233088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2122121091 and 2122121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122121119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44210833 + ... + 44210880.

Almost surely, 22122121112 is an apocalyptic number.

It is an amenable number.

2122121112 is an abundant number, since it is smaller than the sum of its proper divisors (3183181728).

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

2122121112 is a wasteful number, since it uses less digits than its factorization.

2122121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88421722 (or 88421718 counting only the distinct ones).

The product of its digits is 32, while the sum is 15.

The square root of 2122121112 is about 46066.4857787090. The cubic root of 2122121112 is about 1285.0599500663.

Adding to 2122121112 its reverse (2111212212), we get a palindrome (4233333324).

The spelling of 2122121112 in words is "two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 88421713 176843426 265265139 353686852 530530278 707373704 1061060556 2122121112