Search a number
-
+
2000120120121 = 317591076212267
BaseRepresentation
bin11101000110110000011…
…100110000001100111001
321002012122210212120210110
4131012300130300030321
5230232221222320441
64130501551334533
7264334561336344
oct35066034601471
97065583776713
102000120120121
11701278734912
12283778221449
131167c2400b76
146cb407db45b
1537063808b16
hex1d1b0730339

2000120120121 has 32 divisors (see below), whose sum is σ = 2898395758080. Its totient is φ = 1222176363776.

The previous prime is 2000120120111. The next prime is 2000120120143. The reversal of 2000120120121 is 1210210210002.

It is a cyclic number.

It is not a de Polignac number, because 2000120120121 - 219 = 2000119595833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000120120097 and 2000120120106.

It is not an unprimeable number, because it can be changed into a prime (2000120120111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2784171 + ... + 3428096.

It is an arithmetic number, because the mean of its divisors is an integer number (90574867440).

Almost surely, 22000120120121 is an apocalyptic number.

It is an amenable number.

2000120120121 is a deficient number, since it is larger than the sum of its proper divisors (898275637959).

2000120120121 is a wasteful number, since it uses less digits than its factorization.

2000120120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6212453.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2000120120121 its reverse (1210210210002), we get a palindrome (3210330330123).

The spelling of 2000120120121 in words is "two trillion, one hundred twenty million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 17 51 59 107 177 321 1003 1819 3009 5457 6313 18939 107321 321963 6212267 18636801 105608539 316825617 366523753 664712569 1099571259 1994137707 6230903801 11300113673 18692711403 33900341019 39218041571 117654124713 666706706707 2000120120121