Search a number
-
+
1312143000 = 23353762483
BaseRepresentation
bin100111000110101…
…1011011010011000
310101110000202210220
41032031123122120
510141402034000
6334111440040
744342013540
oct11615333230
93343022726
101312143000
11613741503
12307526020
1317baca09c
14c63a2320
157a2dd1a0
hex4e35b698

1312143000 has 128 divisors (see below), whose sum is σ = 4678801920. Its totient is φ = 299913600.

The previous prime is 1312142989. The next prime is 1312143017. The reversal of 1312143000 is 3412131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10242 + ... + 52241.

It is an arithmetic number, because the mean of its divisors is an integer number (36553140).

Almost surely, 21312143000 is an apocalyptic number.

1312143000 is a gapful number since it is divisible by the number (10) 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 1312143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339400960).

1312143000 is an abundant number, since it is smaller than the sum of its proper divisors (3366658920).

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

1312143000 is a wasteful number, since it uses less digits than its factorization.

1312143000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62514 (or 62500 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1312143000 is about 36223.5144622937. The cubic root of 1312143000 is about 1094.7805068697.

Adding to 1312143000 its reverse (3412131), we get a palindrome (1315555131).

The spelling of 1312143000 in words is "one billion, three hundred twelve million, one hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 62483 124966 187449 249932 312415 374898 437381 499864 624830 749796 874762 937245 1249660 1312143 1499592 1562075 1749524 1874490 2186905 2499320 2624286 3124150 3499048 3748980 4373810 4686225 5248572 6248300 6560715 7497960 7810375 8747620 9372450 10497144 10934525 12496600 13121430 15620750 17495240 18744900 21869050 23431125 26242860 31241500 32803575 37489800 43738100 46862250 52485720 54672625 62483000 65607150 87476200 93724500 109345250 131214300 164017875 187449000 218690500 262428600 328035750 437381000 656071500 1312143000