Search a number
-
+
2123212300 = 22521173137193
BaseRepresentation
bin111111010001101…
…1010011000001100
312110222012100201121
41332203122120030
513322020243200
6550403450324
7103421002216
oct17643323014
95428170647
102123212300
1199a552910
124b30869a4
1327ab57451
14161dad5b6
15c65eee1a
hex7e8da60c

2123212300 has 144 divisors (see below), whose sum is σ = 5158857312. Its totient is φ = 752025600.

The previous prime is 2123212283. The next prime is 2123212309. The reversal of 2123212300 is 32123212.

It is not an unprimeable number, because it can be changed into a prime (2123212309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11001004 + ... + 11001196.

It is an arithmetic number, because the mean of its divisors is an integer number (35825398).

Almost surely, 22123212300 is an apocalyptic number.

2123212300 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 2123212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579428656).

2123212300 is an abundant number, since it is smaller than the sum of its proper divisors (3035645012).

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

2123212300 is a wasteful number, since it uses less digits than its factorization.

2123212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2123212300 is about 46078.3278776476. The cubic root of 2123212300 is about 1285.2801702531.

Adding to 2123212300 its reverse (32123212), we get a palindrome (2155335512).

It can be divided in two parts, 2123 and 212300, that multiplied together give a square (450712900 = 212302).

The spelling of 2123212300 in words is "two billion, one hundred twenty-three million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 137 146 193 220 274 275 292 365 386 548 550 685 730 772 803 965 1100 1370 1460 1507 1606 1825 1930 2123 2740 3014 3212 3425 3650 3860 4015 4246 4825 6028 6850 7300 7535 8030 8492 9650 10001 10615 13700 14089 15070 16060 19300 20002 20075 21230 26441 28178 30140 37675 40004 40150 42460 50005 52882 53075 56356 70445 75350 80300 100010 105764 106150 110011 132205 140890 150700 154979 200020 212300 220022 250025 264410 281780 290851 309958 352225 440044 500050 528820 550055 581702 619916 661025 704450 774895 1000100 1100110 1163404 1322050 1408900 1454255 1549790 1930193 2200220 2644100 2750275 2908510 3099580 3860386 3874475 5500550 5817020 7271275 7720772 7748950 9650965 11001100 14542550 15497900 19301930 21232123 29085100 38603860 42464246 48254825 84928492 96509650 106160615 193019300 212321230 424642460 530803075 1061606150 2123212300