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2112021300 = 2235261131881
BaseRepresentation
bin111110111100010…
…1110001100110100
312110012010210120010
41331320232030310
513311134140200
6545323540220
7103223612334
oct17570561464
95405123503
102112021300
119941a9954
124ab38a670
1327873975c
141606d90c4
15c563e150
hex7de2e334

2112021300 has 144 divisors (see below), whose sum is σ = 6265473984. Its totient is φ = 549120000.

The previous prime is 2112021293. The next prime is 2112021311. The reversal of 2112021300 is 31202112.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2396860 + ... + 2397740.

It is an arithmetic number, because the mean of its divisors is an integer number (43510236).

Almost surely, 22112021300 is an apocalyptic number.

2112021300 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 2112021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132736992).

2112021300 is an abundant number, since it is smaller than the sum of its proper divisors (4153452684).

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

2112021300 is a wasteful number, since it uses less digits than its factorization.

2112021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2112021300 is about 45956.7329125994. The cubic root of 2112021300 is about 1283.0180451455.

Adding to 2112021300 its reverse (31202112), we get a palindrome (2143223412).

The spelling of 2112021300 in words is "two billion, one hundred twelve million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 131 150 183 244 262 300 305 366 393 524 610 655 732 786 881 915 1220 1310 1525 1572 1762 1830 1965 2620 2643 3050 3275 3524 3660 3930 4405 4575 5286 6100 6550 7860 7991 8810 9150 9825 10572 13100 13215 15982 17620 18300 19650 22025 23973 26430 31964 39300 39955 44050 47946 52860 53741 66075 79910 88100 95892 107482 115411 119865 132150 159820 161223 199775 214964 230822 239730 264300 268705 322446 346233 399550 461644 479460 537410 577055 599325 644892 692466 799100 806115 1074820 1154110 1198650 1343525 1384932 1612230 1731165 2308220 2397300 2687050 2885275 3224460 3462330 4030575 5374100 5770550 6924660 7040071 8061150 8655825 11541100 14080142 16122300 17311650 21120213 28160284 34623300 35200355 42240426 70400710 84480852 105601065 140801420 176001775 211202130 352003550 422404260 528005325 704007100 1056010650 2112021300