Search a number
-
+
3112143320 = 23511133117551
BaseRepresentation
bin1011100101111111…
…1000100111011000
322000220001021001102
42321133320213120
522333202041240
61232452010532
7140056532066
oct27137704730
98026037042
103112143320
1113577a6380
1272a300a48
133a79ba330
14217479036
15133346815
hexb97f89d8

3112143320 has 128 divisors (see below), whose sum is σ = 8492359680. Its totient is φ = 1010880000.

The previous prime is 3112143319. The next prime is 3112143329. The reversal of 3112143320 is 233412113.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3112143292 and 3112143301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112143329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168545 + ... + 186095.

It is an arithmetic number, because the mean of its divisors is an integer number (66346560).

Almost surely, 23112143320 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 3112143320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246179840).

3112143320 is an abundant number, since it is smaller than the sum of its proper divisors (5380216360).

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

3112143320 is a wasteful number, since it uses less digits than its factorization.

3112143320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17617 (or 17613 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3112143320 is about 55786.5872768715. The cubic root of 3112143320 is about 1460.0011446792.

Adding to 3112143320 its reverse (233412113), we get a palindrome (3345555433).

The spelling of 3112143320 in words is "three billion, one hundred twelve million, one hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 31 40 44 52 55 62 65 88 104 110 124 130 143 155 220 248 260 286 310 341 403 440 520 572 620 682 715 806 1144 1240 1364 1430 1612 1705 2015 2728 2860 3224 3410 4030 4433 5720 6820 8060 8866 13640 16120 17551 17732 22165 35102 35464 44330 70204 87755 88660 140408 175510 177320 193061 228163 351020 386122 456326 544081 702040 772244 912652 965305 1088162 1140815 1544488 1825304 1930610 2176324 2281630 2509793 2720405 3861220 4352648 4563260 5019586 5440810 5984891 7073053 7722440 9126520 10039172 10881620 11969782 12548965 14146106 20078344 21763240 23939564 25097930 28292212 29924455 35365265 47879128 50195860 56584424 59848910 70730530 77803583 100391720 119697820 141461060 155607166 239395640 282922120 311214332 389017915 622428664 778035830 1556071660 3112143320