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2120211213300 = 2232528237286001
BaseRepresentation
bin11110110110100110011…
…011111010101111110100
321111200122011110012122100
4132312212123322233310
5234214143032311200
64302002300302100
7306115544646465
oct36664633725764
97450564405570
102120211213300
117481a3a57654
122a2ab2541930
13124c2043090b
1474893c96d6c
153a2417a4d00
hex1eda66fabf4

2120211213300 has 108 divisors (see below), whose sum is σ = 6646514306796. Its totient is φ = 565319040000.

The previous prime is 2120211213293. The next prime is 2120211213311. The reversal of 2120211213300 is 33121120212.

2120211213300 is a `hidden beast` number, since 2 + 120 + 211 + 2 + 1 + 330 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 618815376 + 2119592397924 = 24876^2 + 1455882^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7270300 + ... + 7556300.

It is an arithmetic number, because the mean of its divisors is an integer number (61541799137).

Almost surely, 22120211213300 is an apocalyptic number.

2120211213300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120211213300 is an abundant number, since it is smaller than the sum of its proper divisors (4526303093496).

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

2120211213300 is a wasteful number, since it uses less digits than its factorization.

2120211213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294258 (or 294248 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2120211213300 its reverse (33121120212), we get a palindrome (2153332333512).

The spelling of 2120211213300 in words is "two trillion, one hundred twenty billion, two hundred eleven million, two hundred thirteen 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 8237 16474 24711 32948 41185 49422 74133 82370 98844 123555 148266 164740 205925 247110 286001 296532 370665 411850 494220 572002 617775 741330 823700 858003 1144004 1235550 1430005 1482660 1716006 1853325 2471100 2574009 2860010 3432012 3706650 4290015 5148018 5720020 7150025 7413300 8580030 10296036 12870045 14300050 17160060 21450075 25740090 28600100 42900150 51480180 64350225 85800300 128700450 257400900 2355790237 4711580474 7067370711 9423160948 11778951185 14134741422 21202112133 23557902370 28269482844 35336853555 42404224266 47115804740 58894755925 70673707110 84808448532 106010560665 117789511850 141347414220 176684267775 212021121330 235579023700 353368535550 424042242660 530052803325 706737071100 1060105606650 2120211213300