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20001233122101 = 32711131220319147
BaseRepresentation
bin1001000110000111001100…
…11001010011001100110101
32121211002200022210121011200
410203003212121103030311
510110200011134401401
6110312234544123113
74133020126261020
oct443034631231465
977732608717150
1020001233122101
116411525736a10
1222b0458606499
13b2115390429a
144d20c9d301b7
1524a428265686
hex1230e6653335

20001233122101 has 48 divisors (see below), whose sum is σ = 36294495164928. Its totient is φ = 10310936032800.

The previous prime is 20001233122097. The next prime is 20001233122121. The reversal of 20001233122101 is 10122133210002.

20001233122101 is a `hidden beast` number, since 20 + 0 + 0 + 123 + 312 + 210 + 1 = 666.

It is not a de Polignac number, because 20001233122101 - 22 = 20001233122097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001233122121) 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, 110068791 + ... + 110250356.

It is an arithmetic number, because the mean of its divisors is an integer number (756135315936).

Almost surely, 220001233122101 is an apocalyptic number.

20001233122101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20001233122101 is a deficient number, since it is larger than the sum of its proper divisors (16293262042827).

20001233122101 is a wasteful number, since it uses less digits than its factorization.

20001233122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220319302 (or 220319299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20001233122101 its reverse (10122133210002), we get a palindrome (30123366332103).

The spelling of 20001233122101 in words is "twenty trillion, one billion, two hundred thirty-three million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 131 231 393 693 917 1179 1441 2751 4323 8253 10087 12969 30261 90783 220319147 660957441 1542234029 1982872323 2423510617 4626702087 7270531851 13880106261 16964574319 21811595553 28861808257 50893722957 86585424771 152681168871 202032657799 259756274313 317479890827 606097973397 952439672481 1818293920191 2222359235789 2857319017443 6667077707367 20001233122101