Search a number
-
+
2320302101000 = 235313832150419
BaseRepresentation
bin100001110000111100110…
…010000101001000001000
322012211002211202110121212
4201300330302011020020
5301003434314213000
64533533154352252
7326431151304302
oct41607462051010
98184084673555
102320302101000
11815042056054
1231583458b688
1313aa5a522aa0
1480436076972
1540552bcdc35
hex21c3cc85208

2320302101000 has 128 divisors (see below), whose sum is σ = 5917611772800. Its totient is φ = 846404524800.

The previous prime is 2320302100999. The next prime is 2320302101003. The reversal of 2320302101000 is 1012030232.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2320302101003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3791 + ... + 2154209.

It is an arithmetic number, because the mean of its divisors is an integer number (46231341975).

Almost surely, 22320302101000 is an apocalyptic number.

2320302101000 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 2320302101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958805886400).

2320302101000 is an abundant number, since it is smaller than the sum of its proper divisors (3597309671800).

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

2320302101000 is a wasteful number, since it uses less digits than its factorization.

2320302101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150536 (or 2150522 counting only the distinct ones).

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

Adding to 2320302101000 its reverse (1012030232), we get a palindrome (2321314131232).

The spelling of 2320302101000 in words is "two trillion, three hundred twenty billion, three hundred two million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 83 100 104 125 130 166 200 250 260 325 332 415 500 520 650 664 830 1000 1079 1300 1625 1660 2075 2158 2600 3250 3320 4150 4316 5395 6500 8300 8632 10375 10790 13000 16600 20750 21580 26975 41500 43160 53950 83000 107900 134875 215800 269750 539500 1079000 2150419 4300838 8601676 10752095 17203352 21504190 27955447 43008380 53760475 55910894 86016760 107520950 111821788 139777235 178484777 215041900 223643576 268802375 279554470 356969554 430083800 537604750 559108940 698886175 713939108 892423885 1075209500 1118217880 1397772350 1427878216 1784847770 2150419000 2320302101 2795544700 3494430875 3569695540 4462119425 4640604202 5591089400 6988861750 7139391080 8924238850 9281208404 11601510505 13977723500 17848477700 18562416808 22310597125 23203021010 27955447000 35696955400 44621194250 46406042020 58007552525 89242388500 92812084040 116015105050 178484777000 232030210100 290037762625 464060420200 580075525250 1160151050500 2320302101000