Search a number
-
+
2311321120 = 25519863881
BaseRepresentation
bin1000100111000011…
…1111011000100000
312222002011021111221
42021300333120200
514213144233440
61021203344424
7111163622353
oct21160773040
95862137457
102311321120
11a86753849
12546082114
132aab0a144
1417cd7829a
15d7daad4a
hex89c3f620

2311321120 has 96 divisors (see below), whose sum is σ = 5761082880. Its totient is φ = 873861120.

The previous prime is 2311321087. The next prime is 2311321151. The reversal of 2311321120 is 211231132.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2311321094 and 2311321103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2623080 + ... + 2623960.

It is an arithmetic number, because the mean of its divisors is an integer number (60011280).

Almost surely, 22311321120 is an apocalyptic number.

2311321120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2311321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880541440).

2311321120 is an abundant number, since it is smaller than the sum of its proper divisors (3449761760).

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

2311321120 is a wasteful number, since it uses less digits than its factorization.

2311321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2311321120 is about 48076.2011810417. The cubic root of 2311321120 is about 1322.1683675021.

Adding to 2311321120 its reverse (211231132), we get a palindrome (2522552252).

The spelling of 2311321120 in words is "two billion, three hundred eleven million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 863 881 1520 1726 1762 3040 3452 3524 4315 4405 6904 7048 8630 8810 13808 14096 16397 16739 17260 17620 27616 28192 32794 33478 34520 35240 65588 66956 69040 70480 81985 83695 131176 133912 138080 140960 163970 167390 262352 267824 327940 334780 524704 535648 655880 669560 760303 1311760 1339120 1520606 2623520 2678240 3041212 3801515 6082424 7603030 12164848 14445757 15206060 24329696 28891514 30412120 57783028 60824240 72228785 115566056 121648480 144457570 231132112 288915140 462264224 577830280 1155660560 2311321120