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2112434320 = 24526405429
BaseRepresentation
bin111110111101001…
…0011000010010000
312110012220210010011
41331322103002100
513311240344240
6545340444304
7103230252433
oct17572230220
95405823104
102112434320
11994461197
124ab549694
13278852749
141607a581a
15c56c16ea
hex7de93090

2112434320 has 20 divisors (see below), whose sum is σ = 4911409980. Its totient is φ = 844973696.

The previous prime is 2112434293. The next prime is 2112434341. The reversal of 2112434320 is 234342112.

It can be written as a sum of positive squares in 2 ways, for example, as 417630096 + 1694804224 = 20436^2 + 41168^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2112434291 and 2112434300.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13202635 + ... + 13202794.

It is an arithmetic number, because the mean of its divisors is an integer number (245570499).

Almost surely, 22112434320 is an apocalyptic number.

2112434320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112434320 is an abundant number, since it is smaller than the sum of its proper divisors (2798975660).

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

2112434320 is a wasteful number, since it uses less digits than its factorization.

2112434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26405442 (or 26405436 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2112434320 is about 45961.2262673658. The cubic root of 2112434320 is about 1283.1016739697.

Adding to 2112434320 its reverse (234342112), we get a palindrome (2346776432).

The spelling of 2112434320 in words is "two billion, one hundred twelve million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26405429 52810858 105621716 132027145 211243432 264054290 422486864 528108580 1056217160 2112434320