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2120330000 = 2454434931
BaseRepresentation
bin111111001100001…
…1010101100010000
312110202202220221202
41332120122230100
513320301030000
6550222010332
7103354336055
oct17630325420
95422686852
102120330000
11998964348
124b21169a8
1327a388549
1416185d02c
15c6230dd5
hex7e61ab10

2120330000 has 100 divisors (see below), whose sum is σ = 5253980688. Its totient is φ = 828240000.

The previous prime is 2120329979. The next prime is 2120330053. The reversal of 2120330000 is 330212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 427535 + ... + 432465.

Almost surely, 22120330000 is an apocalyptic number.

2120330000 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 2120330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626990344).

2120330000 is an abundant number, since it is smaller than the sum of its proper divisors (3133650688).

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

2120330000 is an equidigital number, since it uses as much as digits as its factorization.

2120330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2120330000 is about 46047.0411644440. The cubic root of 2120330000 is about 1284.6983096704.

Adding to 2120330000 its reverse (330212), we get a palindrome (2120660212).

The spelling of 2120330000 in words is "two billion, one hundred twenty million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 625 688 860 1000 1075 1250 1720 2000 2150 2500 3440 4300 4931 5000 5375 8600 9862 10000 10750 17200 19724 21500 24655 26875 39448 43000 49310 53750 78896 86000 98620 107500 123275 197240 212033 215000 246550 394480 424066 430000 493100 616375 848132 986200 1060165 1232750 1696264 1972400 2120330 2465500 3081875 3392528 4240660 4931000 5300825 6163750 8481320 9862000 10601650 12327500 16962640 21203300 24655000 26504125 42406600 49310000 53008250 84813200 106016500 132520625 212033000 265041250 424066000 530082500 1060165000 2120330000