Search a number
-
+
42300021000 = 2335316018807
BaseRepresentation
bin100111011001010001…
…110001100100001000
311001011221221201011110
4213121101301210020
51143112301133000
631233220130320
73025143150246
oct473121614410
9131157851143
1042300021000
1116a37293946
1282462369a0
133cb1734133
142093c43796
1511788ae850
hex9d9471908

42300021000 has 128 divisors (see below), whose sum is σ = 132073493760. Its totient is φ = 11271680000.

The previous prime is 42300020957. The next prime is 42300021077. The reversal of 42300021000 is 12000324.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4798597 + ... + 4807403.

It is an arithmetic number, because the mean of its divisors is an integer number (1031824170).

Almost surely, 242300021000 is an apocalyptic number.

42300021000 is a gapful number since it is divisible by the number (40) 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 42300021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66036746880).

42300021000 is an abundant number, since it is smaller than the sum of its proper divisors (89773472760).

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

42300021000 is a wasteful number, since it uses less digits than its factorization.

42300021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10432 (or 10418 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 42300021000 its reverse (12000324), we get a palindrome (42312021324).

The spelling of 42300021000 in words is "forty-two billion, three hundred million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1601 3000 3202 4803 6404 8005 8807 9606 12808 16010 17614 19212 24015 26421 32020 35228 38424 40025 44035 48030 52842 64040 70456 80050 88070 96060 105684 120075 132105 160100 176140 192120 200125 211368 220175 240150 264210 320200 352280 400250 440350 480300 528420 600375 660525 800500 880700 960600 1056840 1100875 1200750 1321050 1601000 1761400 2201750 2401500 2642100 3302625 4403500 4803000 5284200 6605250 8807000 13210500 14100007 26421000 28200014 42300021 56400028 70500035 84600042 112800056 141000070 169200084 211500105 282000140 338400168 352500175 423000210 564000280 705000350 846000420 1057500525 1410000700 1692000840 1762500875 2115001050 2820001400 3525001750 4230002100 5287502625 7050003500 8460004200 10575005250 14100007000 21150010500 42300021000