Search a number
-
+
2311020320 = 25572294773
BaseRepresentation
bin1000100110111111…
…0101111100100000
312222001120222220012
42021233311330200
514213110122240
61021153104052
7111161230400
oct21157657440
95861528805
102311020320
11a86568854
12545b58028
132aaa3325b
1417ccda800
15d7d4bb65
hex89bf5f20

2311020320 has 72 divisors (see below), whose sum is σ = 6351200604. Its totient is φ = 792347136.

The previous prime is 2311020317. The next prime is 2311020323. The reversal of 2311020320 is 230201132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2311020317) and next prime (2311020323).

It can be written as a sum of positive squares in 2 ways, for example, as 2231239696 + 79780624 = 47236^2 + 8932^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2311020295 and 2311020304.

It is not an unprimeable number, because it can be changed into a prime (2311020323) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 139547 + ... + 155226.

Almost surely, 22311020320 is an apocalyptic number.

2311020320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2311020320 is an abundant number, since it is smaller than the sum of its proper divisors (4040180284).

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

2311020320 is a wasteful number, since it uses less digits than its factorization.

2311020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294802 (or 294787 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2311020320 is about 48073.0727122783. The cubic root of 2311020320 is about 1322.1110084596. Note that the first 3 decimals are identical.

Adding to 2311020320 its reverse (230201132), we get a palindrome (2541221452).

The spelling of 2311020320 in words is "two billion, three hundred eleven million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 294773 589546 1179092 1473865 2063411 2358184 2947730 4126822 4716368 5895460 8253644 9432736 10317055 11790920 14443877 16507288 20634110 23581840 28887754 33014576 41268220 47163680 57775508 66029152 72219385 82536440 115551016 144438770 165072880 231102032 288877540 330145760 462204064 577755080 1155510160 2311020320