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211221020221100 = 225229271926787361
BaseRepresentation
bin110000000001101010111001…
…111000010001111010101100
31000200212112101001211021212122
4300001222321320101322230
5210141121122134033400
62025121332551252112
762330133533422451
oct6001527170217254
91020775331737778
10211221020221100
116133537143770a
121b83407037a038
1390b2097876b46
143a2321ac55828
1519645242b1685
hexc01ab9e11eac

211221020221100 has 72 divisors (see below), whose sum is σ = 474329176406400. Its totient is φ = 81545009817600.

The previous prime is 211221020221087. The next prime is 211221020221151. The reversal of 211221020221100 is 1122020122112.

It is a super-2 number, since 2×2112210202211002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5508581 + ... + 21278780.

Almost surely, 2211221020221100 is an apocalyptic number.

211221020221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221020221100 is an abundant number, since it is smaller than the sum of its proper divisors (263108156185300).

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

211221020221100 is a wasteful number, since it uses less digits than its factorization.

211221020221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26790123 (or 26790116 counting only the distinct ones).

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

Adding to 211221020221100 its reverse (1122020122112), we get a palindrome (212343040343212).

The spelling of 211221020221100 in words is "two hundred eleven trillion, two hundred twenty-one billion, twenty million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2719 2900 5438 10876 13595 27190 54380 67975 78851 135950 157702 271900 315404 394255 788510 1577020 1971275 3942550 7885100 26787361 53574722 107149444 133936805 267873610 535747220 669684025 776833469 1339368050 1553666938 2678736100 3107333876 3884167345 7768334690 15536669380 19420836725 38841673450 72834834559 77683346900 145669669118 291339338236 364174172795 728348345590 1456696691180 1820870863975 2112210202211 3641741727950 4224420404422 7283483455900 8448840808844 10561051011055 21122102022110 42244204044220 52805255055275 105610510110550 211221020221100