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221022221221011 = 37259792293140681
BaseRepresentation
bin110010010000010010111110…
…111110111011110010010011
31001222120111222121122222100210
4302100102332332323302103
5212432212002113033021
62102024112352015203
764361220453344400
oct6220227676736223
91058514877588323
10221022221221011
1164473aa7929541
1220957706831503
1396433c9467822
143c817655b32a7
151a84466416e76
hexc904befbbc93

221022221221011 has 96 divisors (see below), whose sum is σ = 353189701555200. Its totient is φ = 122531811816960.

The previous prime is 221022221221003. The next prime is 221022221221027. The reversal of 221022221221011 is 110122122220122.

It is not a de Polignac number, because 221022221221011 - 23 = 221022221221003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (221022221221511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1571017591 + ... + 1571158271.

It is an arithmetic number, because the mean of its divisors is an integer number (3679059391200).

Almost surely, 2221022221221011 is an apocalyptic number.

221022221221011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221022221221011 is a deficient number, since it is larger than the sum of its proper divisors (132167480334189).

221022221221011 is a wasteful number, since it uses less digits than its factorization.

221022221221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143129 (or 143122 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 221022221221011 its reverse (110122122220122), we get a palindrome (331144343441133).

The spelling of 221022221221011 in words is "two hundred twenty-one trillion, twenty-two billion, two hundred twenty-one million, two hundred twenty-one thousand, eleven".

Divisors: 1 3 7 21 49 59 79 147 177 237 413 553 1239 1659 2293 2891 3871 4661 6879 8673 11613 13983 16051 32627 48153 97881 112357 135287 140681 181147 228389 337071 405861 422043 543441 685167 947009 984767 1268029 2841027 2954301 3804087 6629063 6893369 8300179 8876203 10687673 11113799 19887189 20680107 24900537 26628609 32063019 33341397 58101253 74813711 77796593 174303759 224441133 233389779 322581533 406708771 523695977 544576151 655714141 967744599 1220126313 1571087931 1633728453 1967142423 2258070731 4589998987 6774212193 13769996961 15806495117 19032310447 25483941107 32129992909 47419485351 57096931341 76451823321 96389978727 133226173129 178387587749 399678519387 535162763247 932583211903 1248713114243 1503552525313 2797749635709 3746139342729 4510657575939 10524867677191 31574603031573 73674073740337 221022221221011