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2130120112 = 24316436679
BaseRepresentation
bin111111011110111…
…0000110110110000
312111110012022110111
41332331300312300
513330302320422
6551211511104
7103533502501
oct17675606660
95443168414
102130120112
119a344084a
124b5458494
1327c405703
14162c8aba8
15c7016a77
hex7ef70db0

2130120112 has 40 divisors (see below), whose sum is σ = 4267504640. Its totient is φ = 1028946240.

The previous prime is 2130120107. The next prime is 2130120119. The reversal of 2130120112 is 2110210312.

It is a junction number, because it is equal to n+sod(n) for n = 2130120092 and 2130120101.

It is not an unprimeable number, because it can be changed into a prime (2130120119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315589 + ... + 322267.

It is an arithmetic number, because the mean of its divisors is an integer number (106687616).

Almost surely, 22130120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133752320).

2130120112 is an abundant number, since it is smaller than the sum of its proper divisors (2137384528).

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

2130120112 is a wasteful number, since it uses less digits than its factorization.

2130120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7361 (or 7355 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2130120112 is about 46153.2242860669. The cubic root of 2130120112 is about 1286.6725357311.

Adding to 2130120112 its reverse (2110210312), we get a palindrome (4240330424).

The spelling of 2130120112 in words is "two billion, one hundred thirty million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 248 496 643 1286 2572 5144 6679 10288 13358 19933 26716 39866 53432 79732 106864 159464 207049 318928 414098 828196 1656392 3312784 4294597 8589194 17178388 34356776 68713552 133132507 266265014 532530028 1065060056 2130120112