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2123211300 = 2235273492897
BaseRepresentation
bin111111010001101…
…1010001000100100
312110222012022100120
41332203122020210
513322020230200
6550403441540
7103420666260
oct17643321044
95428168316
102123211300
1199a552091
124b30862b0
1327ab56b62
14161dad0a0
15c65ee9a0
hex7e8da224

2123211300 has 144 divisors (see below), whose sum is σ = 7043299200. Its totient is φ = 483747840.

The previous prime is 2123211289. The next prime is 2123211313. The reversal of 2123211300 is 31123212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2123211300.

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, 731452 + ... + 734348.

It is an arithmetic number, because the mean of its divisors is an integer number (48911800).

Almost surely, 22123211300 is an apocalyptic number.

2123211300 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 2123211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521649600).

2123211300 is an abundant number, since it is smaller than the sum of its proper divisors (4920087900).

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

2123211300 is a wasteful number, since it uses less digits than its factorization.

2123211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2123211300 is about 46078.3170265582. The cubic root of 2123211300 is about 1285.2799684707.

Adding to 2123211300 its reverse (31123212), we get a palindrome (2154334512).

The spelling of 2123211300 in words is "two billion, one hundred twenty-three million, two hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 349 350 420 525 698 700 1047 1050 1396 1745 2094 2100 2443 2897 3490 4188 4886 5235 5794 6980 7329 8691 8725 9772 10470 11588 12215 14485 14658 17382 17450 20279 20940 24430 26175 28970 29316 34764 34900 36645 40558 43455 48860 52350 57940 60837 61075 72425 73290 81116 86910 101395 104700 121674 122150 144850 146580 173820 183225 202790 217275 243348 244300 289700 304185 366450 405580 434550 506975 608370 732900 869100 1011053 1013950 1216740 1520925 2022106 2027900 3033159 3041850 4044212 5055265 6066318 6083700 7077371 10110530 12132636 14154742 15165795 20221060 21232113 25276325 28309484 30331590 35386855 42464226 50552650 60663180 70773710 75828975 84928452 101105300 106160565 141547420 151657950 176934275 212321130 303315900 353868550 424642260 530802825 707737100 1061605650 2123211300