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211221020310330 = 23539893626348673
BaseRepresentation
bin110000000001101010111001…
…111000100111101100111010
31000200212112101001222211021110
4300001222321320213230322
5210141121122144412310
62025121332553221150
762330133534243552
oct6001527170475472
91020775331884243
10211221020310330
1161335371498758
121b8340704017b6
1390b20978a8644
143a2321ac7a162
1519645242ccd20
hexc01ab9e27b3a

211221020310330 has 64 divisors (see below), whose sum is σ = 507081931534080. Its totient is φ = 56308775417856.

The previous prime is 211221020310281. The next prime is 211221020310373. The reversal of 211221020310330 is 33013020122112.

211221020310330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112210203103302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211221020310297 and 211221020310306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4339568874 + ... + 4339617546.

It is an arithmetic number, because the mean of its divisors is an integer number (7923155180220).

Almost surely, 2211221020310330 is an apocalyptic number.

211221020310330 is an abundant number, since it is smaller than the sum of its proper divisors (295860911223750).

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

211221020310330 is a wasteful number, since it uses less digits than its factorization.

211221020310330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88935.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211221020310330 its reverse (33013020122112), we get a palindrome (244234040432442).

The spelling of 211221020310330 in words is "two hundred eleven trillion, two hundred twenty-one billion, twenty million, three hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 3989 7978 11967 19945 23934 36263 39890 48673 59835 72526 97346 108789 119670 146019 181315 217578 243365 292038 362630 486730 543945 730095 1087890 1460190 144653107 194156597 289306214 388313194 433959321 582469791 723265535 867918642 970782985 1164939582 1446531070 1765028999 1941565970 2169796605 2912348955 3530057998 4339593210 5295086997 5824697910 8825144995 10590173994 17650289990 26475434985 52950869970 7040700677011 14081401354022 21122102031033 35203503385055 42244204062066 70407006770110 105610510155165 211221020310330