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112211010220221 = 321117284323451709
BaseRepresentation
bin11001100000111000101001…
…011001110111000010111101
3112201022021020020100110022200
4121200320221121313002331
5104201431122104021341
61034353005414102113
732430656303352213
oct3140705131670275
9481267206313280
10112211010220221
1132832470a30630
12107032b434a939
134a7c5b6c1a1b3
141d9d082c82cb3
15ce8cec571db6
hex660e296770bd

112211010220221 has 48 divisors (see below), whose sum is σ = 187284230377920. Its totient is φ = 63983763970560.

The previous prime is 112211010220219. The next prime is 112211010220301. The reversal of 112211010220221 is 122022010112211.

112211010220221 is a `hidden beast` number, since 1 + 1 + 2 + 211 + 0 + 10 + 220 + 221 = 666.

It is not a de Polignac number, because 112211010220221 - 21 = 112211010220219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112211010220194 and 112211010220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112211010220721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6941086 + ... + 16510623.

It is an arithmetic number, because the mean of its divisors is an integer number (3901754799540).

Almost surely, 2112211010220221 is an apocalyptic number.

112211010220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112211010220221 is a deficient number, since it is larger than the sum of its proper divisors (75073220157699).

112211010220221 is a wasteful number, since it uses less digits than its factorization.

112211010220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23454586 (or 23454583 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112211010220221 its reverse (122022010112211), we get a palindrome (234233020332432).

The spelling of 112211010220221 in words is "one hundred twelve trillion, two hundred eleven billion, ten million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 2843 8529 25587 31273 48331 93819 144993 281457 434979 531641 1594923 4784769 23451709 70355127 211065381 257968799 398679053 773906397 1196037159 2321719191 3588111477 4385469583 13156408749 39469226247 66673208687 200019626061 600058878183 733405295557 1133444547679 2200215886671 3400333643037 6600647660013 10201000929111 12467890024469 37403670073407 112211010220221