[go: up one dir, main page]

Search a number
-
+
2120030000 = 24541119273
BaseRepresentation
bin111111001011101…
…0001011100110000
312110202012200102122
41332113101130300
513320211430000
6550211333412
7103351646324
oct17627213460
95422180378
102120030000
11998779a10
124b1bb1268
1327a2b1b2a
141617c1984
15c61c2085
hex7e5d1730

2120030000 has 100 divisors (see below), whose sum is σ = 5599713768. Its totient is φ = 770880000.

The previous prime is 2120029981. The next prime is 2120030023. The reversal of 2120030000 is 300212.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2120030000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100364 + ... + 119636.

Almost surely, 22120030000 is an apocalyptic number.

2120030000 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 2120030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799856884).

2120030000 is an abundant number, since it is smaller than the sum of its proper divisors (3479683768).

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

2120030000 is a wasteful number, since it uses less digits than its factorization.

2120030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19312 (or 19291 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2120030000 is about 46043.7835109149. The cubic root of 2120030000 is about 1284.6377172672.

Adding to 2120030000 its reverse (300212), we get a palindrome (2120330212).

The spelling of 2120030000 in words is "two billion, one hundred twenty million, thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 19273 22000 27500 38546 55000 77092 96365 110000 154184 192730 212003 308368 385460 424006 481825 770920 848012 963650 1060015 1541840 1696024 1927300 2120030 2409125 3392048 3854600 4240060 4818250 5300075 7709200 8480120 9636500 10600150 12045625 16960240 19273000 21200300 24091250 26500375 38546000 42400600 48182500 53000750 84801200 96365000 106001500 132501875 192730000 212003000 265003750 424006000 530007500 1060015000 2120030000