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2112113320 = 235173106049
BaseRepresentation
bin111110111100100…
…0100101010101000
312110012022110210021
41331321010222220
513311200111240
6545325530224
7103224444532
oct17571045250
95405273707
102112113320
11994261aa9
124ab413974
1327876c5c5
14160720852
15c565b54a
hex7de44aa8

2112113320 has 32 divisors (see below), whose sum is σ = 5031801000. Its totient is φ = 795148288.

The previous prime is 2112113309. The next prime is 2112113323. The reversal of 2112113320 is 233112112.

It can be written as a sum of positive squares in 4 ways, for example, as 1743396516 + 368716804 = 41754^2 + 19202^2 .

It is a super-2 number, since 2×21121133202 = 8922045353042844800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112113294 and 2112113303.

It is not an unprimeable number, because it can be changed into a prime (2112113323) 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, 1552345 + ... + 1553704.

Almost surely, 22112113320 is an apocalyptic number.

2112113320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112113320 is an abundant number, since it is smaller than the sum of its proper divisors (2919687680).

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

2112113320 is a wasteful number, since it uses less digits than its factorization.

2112113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106077 (or 3106073 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2112113320 is about 45957.7340607650. The cubic root of 2112113320 is about 1283.0366784181.

Adding to 2112113320 its reverse (233112112), we get a palindrome (2345225432).

The spelling of 2112113320 in words is "two billion, one hundred twelve million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3106049 6212098 12424196 15530245 24848392 31060490 52802833 62120980 105605666 124241960 211211332 264014165 422422664 528028330 1056056660 2112113320