Search a number
-
+
2131111100201 is a prime number
BaseRepresentation
bin11111000000110000000…
…111101011111100101001
321112201202210111211112012
4133000300013223330221
5234404003420201301
64311004030525305
7306652630316426
oct37006007537451
97481683454465
102131111100201
11751887726a46
122a5034966835
13125c696a5135
1475209746d4d
153a67d66aebb
hex1f0301ebf29

2131111100201 has 2 divisors, whose sum is σ = 2131111100202. Its totient is φ = 2131111100200.

The previous prime is 2131111100141. The next prime is 2131111100219. The reversal of 2131111100201 is 1020011111312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1975992490000 + 155118610201 = 1405700^2 + 393851^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131111100201 - 230 = 2130037358377 is a prime.

It is not a weakly prime, because it can be changed into another prime (2131111100291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065555550100 + 1065555550101.

It is an arithmetic number, because the mean of its divisors is an integer number (1065555550101).

Almost surely, 22131111100201 is an apocalyptic number.

It is an amenable number.

2131111100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131111100201 is an equidigital number, since it uses as much as digits as its factorization.

2131111100201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 2131111100201 its reverse (1020011111312), we get a palindrome (3151122211513).

The spelling of 2131111100201 in words is "two trillion, one hundred thirty-one billion, one hundred eleven million, one hundred thousand, two hundred one".