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221211412232104 = 23741732053642871
BaseRepresentation
bin110010010011000011001011…
…101001010111011110101000
31002000020121022122221010120201
4302103003023221113132220
5212443311433012411404
62102251041520001544
764410666004404250
oct6223031351273650
91060217278833521
10221211412232104
1164537262265358
12209883064602b4
1396581ba2ba078
143c8a991d06960
151a8933a97cca4
hexc930cba577a8

221211412232104 has 128 divisors (see below), whose sum is σ = 492478421460480. Its totient is φ = 91180977868800.

The previous prime is 221211412232093. The next prime is 221211412232113. The reversal of 221211412232104 is 401232214112122.

It is a happy number.

221211412232104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 343777789 + ... + 344420659.

It is an arithmetic number, because the mean of its divisors is an integer number (3847487667660).

Almost surely, 2221211412232104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221211412232104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246239210730240).

221211412232104 is an abundant number, since it is smaller than the sum of its proper divisors (271267009228376).

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

221211412232104 is a wasteful number, since it uses less digits than its factorization.

221211412232104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645051 (or 645047 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 221211412232104 its reverse (401232214112122), we get a palindrome (622443626344226).

The spelling of 221211412232104 in words is "two hundred twenty-one trillion, two hundred eleven billion, four hundred twelve million, two hundred thirty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 41 56 73 82 146 164 287 292 328 511 574 584 1022 1148 2044 2053 2296 2993 4088 4106 5986 8212 11972 14371 16424 20951 23944 28742 41902 57484 83804 84173 114968 149869 167608 168346 299738 336692 589211 599476 642871 673384 1049083 1178422 1198952 1285742 2098166 2356844 2571484 4196332 4500097 4713688 5142968 6144629 8392664 9000194 12289258 18000388 24578516 26357711 36000776 43012403 46929583 49157032 52715422 86024806 93859166 105430844 172049612 184503977 187718332 210861688 328507081 344099224 369007954 375436664 657014162 738015908 1314028324 1319814163 1476031816 1924112903 2628056648 2639628326 3848225806 5279256652 7696451612 9238699141 10558513304 13468790321 15392903224 18477398282 26937580642 36954796564 53875161284 54112380683 73909593128 96346433899 107750322568 108224761366 192692867798 216449522732 378786664781 385385735596 432899045464 674425037293 757573329562 770771471192 1348850074586 1515146659124 2697700149172 3030293318248 3950203789859 5395400298344 7900407579718 15800815159436 27651426529013 31601630318872 55302853058026 110605706116052 221211412232104