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220110222112101 = 32671792317388001
BaseRepresentation
bin110010000011000001100111…
…100110011011010101100101
31001212100022221211110000010100
4302003001213212123111211
5212322241213330041401
62100045123510014313
764235303332001136
oct6203014746332545
91055308854400110
10220110222112101
1164152248136612
122082aa04047399
1395a83c6a99699
143c4d56a761c8d
151a6a88a793b86
hexc8306799b565

220110222112101 has 48 divisors (see below), whose sum is σ = 324502700333760. Its totient is φ = 143734618368000.

The previous prime is 220110222112091. The next prime is 220110222112111. The reversal of 220110222112101 is 101211222011022.

220110222112101 is a `hidden beast` number, since 220 + 1 + 1 + 0 + 22 + 211 + 210 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (220110222112091) and next prime (220110222112111).

It is not a de Polignac number, because 220110222112101 - 26 = 220110222112037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220110222112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2501180101 + ... + 2501268101.

It is an arithmetic number, because the mean of its divisors is an integer number (6760472923620).

Almost surely, 2220110222112101 is an apocalyptic number.

It is an amenable number.

220110222112101 is a deficient number, since it is larger than the sum of its proper divisors (104392478221659).

220110222112101 is a wasteful number, since it uses less digits than its factorization.

220110222112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111426 (or 111423 counting only the distinct ones).

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

Adding to 220110222112101 its reverse (101211222011022), we get a palindrome (321321444123123).

The spelling of 220110222112101 in words is "two hundred twenty trillion, one hundred ten billion, two hundred twenty-two million, one hundred twelve thousand, one hundred one".

Divisors: 1 3 9 67 179 201 537 603 1611 11993 23173 35979 69519 88001 107937 208557 264003 792009 1552591 4147967 4657773 5896067 12443901 13973319 15752179 17688201 37331703 47256537 53064603 141769611 277913789 833741367 1055395993 2039247173 2501224101 3166187979 6117741519 9498563937 18353224557 136629560591 365025243967 409888681773 1095075731901 1229666045319 3285227195703 24456691345789 73370074037367 220110222112101