Search a number
-
+
2311131204 = 22362293461
BaseRepresentation
bin1000100111000001…
…0001000001000100
312222001210122000000
42021300101001010
514213122144304
61021155321300
7111162201564
oct21160210104
95861718000
102311131204
11a86634098
12545bb0230
132aaa71875
1417cd28da4
15d7d6e939
hex89c11044

2311131204 has 84 divisors (see below), whose sum is σ = 6092185260. Its totient is φ = 766791360.

The previous prime is 2311131169. The next prime is 2311131211. The reversal of 2311131204 is 4021311132.

It can be written as a sum of positive squares in 2 ways, for example, as 1380271104 + 930860100 = 37152^2 + 30510^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 666034 + ... + 669494.

It is an arithmetic number, because the mean of its divisors is an integer number (72526015).

Almost surely, 22311131204 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 2311131204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046092630).

2311131204 is an abundant number, since it is smaller than the sum of its proper divisors (3781054056).

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

2311131204 is a wasteful number, since it uses less digits than its factorization.

2311131204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3695 counting only the distinct ones).

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

The square root of 2311131204 is about 48074.2259844087. The cubic root of 2311131204 is about 1322.1321533209.

Adding to 2311131204 its reverse (4021311132), we get a palindrome (6332442336).

The spelling of 2311131204 in words is "two billion, three hundred eleven million, one hundred thirty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 229 243 324 458 486 687 729 916 972 1374 1458 2061 2748 2916 3461 4122 6183 6922 8244 10383 12366 13844 18549 20766 24732 31149 37098 41532 55647 62298 74196 93447 111294 124596 166941 186894 222588 280341 333882 373788 560682 667764 792569 841023 1121364 1585138 1682046 2377707 2523069 3170276 3364092 4755414 5046138 7133121 9510828 10092276 14266242 21399363 28532484 42798726 64198089 85597452 128396178 192594267 256792356 385188534 577782801 770377068 1155565602 2311131204