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2112362316 = 22321910329983
BaseRepresentation
bin111110111101000…
…0001011101001100
312110012210010100100
41331322001131030
513311231043231
6545335131100
7103226532501
oct17572013514
95405703310
102112362316
11994412089
124ab513a90
13278828a3c
141607874a8
15c56aa1e6
hex7de8174c

2112362316 has 72 divisors (see below), whose sum is σ = 5675371520. Its totient is φ = 660563424.

The previous prime is 2112362299. The next prime is 2112362333. The reversal of 2112362316 is 6132632112.

2112362316 is a `hidden beast` number, since 2 + 1 + 1 + 23 + 623 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (2112362299) and next prime (2112362333).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2112362316.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55461 + ... + 85443.

Almost surely, 22112362316 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 2112362316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837685760).

2112362316 is an abundant number, since it is smaller than the sum of its proper divisors (3563009204).

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

2112362316 is a wasteful number, since it uses less digits than its factorization.

2112362316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30115 (or 30110 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2112362316 is about 45960.4429482571. The cubic root of 2112362316 is about 1283.0870952912.

Adding to 2112362316 its reverse (6132632112), we get a palindrome (8244994428).

The spelling of 2112362316 in words is "two billion, one hundred twelve million, three hundred sixty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 103 114 171 206 228 309 342 412 618 684 927 1236 1854 1957 3708 3914 5871 7828 11742 17613 23484 29983 35226 59966 70452 89949 119932 179898 269847 359796 539694 569677 1079388 1139354 1709031 2278708 3088249 3418062 5127093 6176498 6836124 9264747 10254186 12352996 18529494 20508372 27794241 37058988 55588482 58676731 111176964 117353462 176030193 234706924 352060386 528090579 704120772 1056181158 2112362316