Search a number
-
+
2023443312300 = 2233524649161201
BaseRepresentation
bin11101011100011110100…
…111101010111010101100
321011102212020120111201000
4131130132213222322230
5231123002441443200
64145320152320300
7266121545241234
oct35343647527254
97142766514630
102023443312300
11710156aa9353
122881a70a3090
13118a6b41b1b7
146dd141b8cc4
153797b1a9300
hex1d71e9eaeac

2023443312300 has 144 divisors (see below), whose sum is σ = 6506435124000. Its totient is φ = 539465472000.

The previous prime is 2023443312271. The next prime is 2023443312307. The reversal of 2023443312300 is 32133443202.

2023443312300 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 4 + 43 + 312 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2023443312307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12471700 + ... + 12632900.

It is an arithmetic number, because the mean of its divisors is an integer number (45183577250).

Almost surely, 22023443312300 is an apocalyptic number.

2023443312300 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 2023443312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253217562000).

2023443312300 is an abundant number, since it is smaller than the sum of its proper divisors (4482991811700).

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

2023443312300 is a wasteful number, since it uses less digits than its factorization.

2023443312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165873 (or 165860 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2023443312300 its reverse (32133443202), we get a palindrome (2055576755502).

The spelling of 2023443312300 in words is "two trillion, twenty-three billion, four hundred forty-three million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4649 9298 13947 18596 23245 27894 41841 46490 55788 69735 83682 92980 116225 125523 139470 161201 167364 209205 232450 251046 278940 322402 348675 418410 464900 483603 502092 627615 644804 697350 806005 836820 967206 1046025 1255230 1394700 1450809 1612010 1934412 2092050 2418015 2510460 2901618 3138075 3224020 4030025 4184100 4352427 4836030 5803236 6276150 7254045 8060050 8704854 9672060 12090075 12552300 14508090 16120100 17409708 21762135 24180150 29016180 36270225 43524270 48360300 72540450 87048540 108810675 145080900 217621350 435242700 749423449 1498846898 2248270347 2997693796 3747117245 4496540694 6744811041 7494234490 8993081388 11241351735 13489622082 14988468980 18735586225 20234433123 22482703470 26979244164 33724055205 37471172450 40468866246 44965406940 56206758675 67448110410 74942344900 80937732492 101172165615 112413517350 134896220820 168620276025 202344331230 224827034700 337240552050 404688662460 505860828075 674481104100 1011721656150 2023443312300