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2122313300 = 2252192235009
BaseRepresentation
bin111111001111111…
…1110111001010100
312110220111200112022
41332133332321110
513321303011200
6550332312312
7103410236222
oct17637767124
95426450468
102122313300
11999a99438
124b2912698
1327a9011b3
14161c17b12
15c64c3885
hex7e7fee54

2122313300 has 72 divisors (see below), whose sum is σ = 4870521600. Its totient is φ = 800478720.

The previous prime is 2122313287. The next prime is 2122313317. The reversal of 2122313300 is 33132212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421196 + ... + 426204.

Almost surely, 22122313300 is an apocalyptic number.

2122313300 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 2122313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435260800).

2122313300 is an abundant number, since it is smaller than the sum of its proper divisors (2748208300).

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

2122313300 is a wasteful number, since it uses less digits than its factorization.

2122313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2122313300 is about 46068.5717165184. The cubic root of 2122313300 is about 1285.0987423302.

Adding to 2122313300 its reverse (33132212), we get a palindrome (2155445512).

The spelling of 2122313300 in words is "two billion, one hundred twenty-two million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 223 380 446 475 892 950 1115 1900 2230 4237 4460 5009 5575 8474 10018 11150 16948 20036 21185 22300 25045 42370 50090 84740 95171 100180 105925 125225 190342 211850 250450 380684 423700 475855 500900 951710 1117007 1903420 2234014 2379275 4468028 4758550 5585035 9517100 11170070 21223133 22340140 27925175 42446266 55850350 84892532 106115665 111700700 212231330 424462660 530578325 1061156650 2122313300