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2121221211300 = 22325222391052663
BaseRepresentation
bin11110110111100010101…
…000110000010010100100
321111210020112221102102200
4132313202220300102210
5234223230112230200
64302250420134500
7306152560541202
oct36674250602244
97453215842380
102121221211300
1174867208a044
122a3134837430
1312505175b779
147494c088072
153a2a02ad800
hex1ede2a304a4

2121221211300 has 108 divisors (see below), whose sum is σ = 6651825922560. Its totient is φ = 565405813440.

The previous prime is 2121221211281. The next prime is 2121221211313. The reversal of 2121221211300 is 31121221212.

2121221211300 is a `hidden beast` number, since 2 + 121 + 221 + 21 + 1 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1488769 + ... + 2541431.

Almost surely, 22121221211300 is an apocalyptic number.

2121221211300 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 2121221211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325912961280).

2121221211300 is an abundant number, since it is smaller than the sum of its proper divisors (4530604711260).

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

2121221211300 is a wasteful number, since it uses less digits than its factorization.

2121221211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054922 (or 1054912 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2121221211300 its reverse (31121221212), we get a palindrome (2152342432512).

The spelling of 2121221211300 in words is "two trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2239 4478 6717 8956 11195 13434 20151 22390 26868 33585 40302 44780 55975 67170 80604 100755 111950 134340 167925 201510 223900 335850 403020 503775 671700 1007550 1052663 2015100 2105326 3157989 4210652 5263315 6315978 9473967 10526630 12631956 15789945 18947934 21053260 26316575 31579890 37895868 47369835 52633150 63159780 78949725 94739670 105266300 157899450 189479340 236849175 315798900 473698350 947396700 2356912457 4713824914 7070737371 9427649828 11784562285 14141474742 21212212113 23569124570 28282949484 35353686855 42424424226 47138249140 58922811425 70707373710 84848848452 106061060565 117845622850 141414747420 176768434275 212122121130 235691245700 353536868550 424244242260 530305302825 707073737100 1060610605650 2121221211300