Search a number
-
+
3122132112 = 2432112967967
BaseRepresentation
bin1011101000010111…
…1111010010010000
322001120211202002200
42322011333102100
522343231211422
61233450043200
7140240453661
oct27205772220
98046752080
103122132112
1113623a9080
12731719500
133a9aa6a68
14218919368
1513416b2ac
hexba17f490

3122132112 has 120 divisors (see below), whose sum is σ = 9860797440. Its totient is φ = 913463040.

The previous prime is 3122132107. The next prime is 3122132147. The reversal of 3122132112 is 2112312213.

3122132112 is a `hidden beast` number, since 312 + 21 + 321 + 12 = 666.

3122132112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11953 + ... + 79919.

It is an arithmetic number, because the mean of its divisors is an integer number (82173312).

Almost surely, 23122132112 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 3122132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930398720).

3122132112 is an abundant number, since it is smaller than the sum of its proper divisors (6738665328).

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

3122132112 is a wasteful number, since it uses less digits than its factorization.

3122132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68021 (or 68012 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 3122132112 is about 55876.0423795387. The cubic root of 3122132112 is about 1461.5614919351.

Adding to 3122132112 its reverse (2112312213), we get a palindrome (5234444325).

The spelling of 3122132112 in words is "three billion, one hundred twenty-two million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 116 132 144 174 176 198 232 261 264 319 348 396 464 522 528 638 696 792 957 1044 1276 1392 1584 1914 2088 2552 2871 3828 4176 5104 5742 7656 11484 15312 22968 45936 67967 135934 203901 271868 407802 543736 611703 747637 815604 1087472 1223406 1495274 1631208 1971043 2242911 2446812 2990548 3262416 3942086 4485822 4893624 5913129 5981096 6728733 7884172 8971644 9787248 11826258 11962192 13457466 15768344 17739387 17943288 21681473 23652516 26914932 31536688 35478774 35886576 43362946 47305032 53829864 65044419 70957548 86725892 94610064 107659728 130088838 141915096 173451784 195133257 260177676 283830192 346903568 390266514 520355352 780533028 1040710704 1561066056 3122132112