Search a number
-
+
100212012222021 = 3371444613670349
BaseRepresentation
bin10110110010010001101101…
…011001000000011001000101
3111010211011201102201022121000
4112302101231121000121011
5101113333200112101041
6553044432440243513
730052036040245560
oct2662215531003105
9433734642638530
10100212012222021
1129a26748417597
12b2a5914170599
1343bbc4bcb89ab
141aa64043b34d7
15b8bb275cabb6
hex5b246d640645

100212012222021 has 32 divisors (see below), whose sum is σ = 169672352544000. Its totient is φ = 57263594984640.

The previous prime is 100212012221999. The next prime is 100212012222029. The reversal of 100212012222021 is 120222210212001.

It is a happy number.

It is not a de Polignac number, because 100212012222021 - 210 = 100212012220997 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100212012221985 and 100212012222003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212012222029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25467955 + ... + 29138303.

It is an arithmetic number, because the mean of its divisors is an integer number (5302261017000).

Almost surely, 2100212012222021 is an apocalyptic number.

It is an amenable number.

100212012222021 is a deficient number, since it is larger than the sum of its proper divisors (69460340321979).

100212012222021 is a wasteful number, since it uses less digits than its factorization.

100212012222021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814826 (or 3814820 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100212012222021 its reverse (120222210212001), we get a palindrome (220434222434022).

The spelling of 100212012222021 in words is "one hundred trillion, two hundred twelve billion, twelve million, two hundred twenty-two thousand, twenty-one".

Divisors: 1 3 7 9 21 27 63 189 144461 433383 1011227 1300149 3033681 3670349 3900447 9101043 11011047 25692443 27303129 33033141 77077329 99099423 231231987 693695961 530222286889 1590666860667 3711556008223 4772000582001 11134668024669 14316001746003 33404004074007 100212012222021