Search a number
-
+
21201122201120 = 2551722123352327
BaseRepresentation
bin1001101001000010001010…
…10110111000111000100000
32210001210210122210100011122
410310201011112320320200
510234324344240413440
6113031354443231412
74315505400205211
oct464410526707040
983053718710148
1021201122201120
116834388852474
122464b04b18568
13baa346223674
145341d5823408
1526b7533407b5
hex1348455b8e20

21201122201120 has 96 divisors (see below), whose sum is σ = 53036531388288. Its totient is φ = 7981215510528.

The previous prime is 21201122201113. The next prime is 21201122201143. The reversal of 21201122201120 is 2110222110212.

It is a super-3 number, since 3×212011222011203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59998397 + ... + 60350723.

It is an arithmetic number, because the mean of its divisors is an integer number (552463868628).

Almost surely, 221201122201120 is an apocalyptic number.

21201122201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201122201120 is an abundant number, since it is smaller than the sum of its proper divisors (31835409187168).

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

21201122201120 is a wasteful number, since it uses less digits than its factorization.

21201122201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374482 (or 374474 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21201122201120 its reverse (2110222110212), we get a palindrome (23311344311332).

The spelling of 21201122201120 in words is "twenty-one trillion, two hundred one billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 22123 44246 88492 110615 176984 221230 352327 353968 376091 442460 704654 707936 752182 884920 1409308 1504364 1761635 1769840 1880455 2818616 3008728 3523270 3539680 3760910 5637232 5989559 6017456 7046540 7521820 11274464 11979118 12034912 14093080 15043640 23958236 28186160 29947795 30087280 47916472 56372320 59895590 60174560 95832944 119791180 191665888 239582360 479164720 958329440 7794530221 15589060442 31178120884 38972651105 62356241768 77945302210 124712483536 132507013757 155890604420 249424967072 265014027514 311781208840 530028055028 623562417680 662535068785 1060056110056 1247124835360 1325070137570 2120112220112 2650140275140 4240224440224 5300280550280 10600561100560 21201122201120