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221412202214122 = 217971011135882353
BaseRepresentation
bin110010010101111110001011…
…101010010111001011101010
31002000221210121001201001200101
4302111332023222113023222
5213010104142231322442
62102523210030100014
764431334530161653
oct6225761352271352
91060853531631611
10221412202214122
1164604429a44757
12209bb20264a60a
13967110919230a
143c9659cca652a
151a8e68d44acb7
hexc95f8ba972ea

221412202214122 has 64 divisors (see below), whose sum is σ = 361972865155104. Its totient is φ = 101195277926400.

The previous prime is 221412202214101. The next prime is 221412202214141.

It is a happy number.

221412202214122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 76768981527681 + 144643220686441 = 8761791^2 + 12026771^2 .

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, 34698898 + ... + 40581250.

Almost surely, 2221412202214122 is an apocalyptic number.

221412202214122 is a deficient number, since it is larger than the sum of its proper divisors (140560662940982).

221412202214122 is a wasteful number, since it uses less digits than its factorization.

221412202214122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882683.

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 22141220 and 2214122, that added together give a palindrome (24355342).

The spelling of 221412202214122 in words is "two hundred twenty-one trillion, four hundred twelve billion, two hundred two million, two hundred fourteen thousand, one hundred twenty-two".

Divisors: 1 2 17 34 97 101 113 194 202 226 1649 1717 1921 3298 3434 3842 9797 10961 11413 19594 21922 22826 166549 186337 194021 333098 372674 388042 1107061 2214122 5882353 11764706 18820037 37640074 100000001 200000002 570588241 594117653 664705889 1141176482 1188235306 1329411778 9700000097 10100000101 11300000113 19400000194 20200000202 22600000226 57629412341 64476471233 67135294789 115258824682 128952942466 134270589578 979700009797 1096100010961 1141300011413 1959400019594 2192200021922 2282600022826 6512123594533 13024247189066 110706101107061 221412202214122