Search a number
-
+
2131031101229 is a prime number
BaseRepresentation
bin11111000000101011010…
…110100000111100101101
321112201120012222110120022
4133000223112200330231
5234403322430214404
64310552052131525
7306650636326322
oct37005326407455
97481505873508
102131031101229
11751846556598
122a5012006ba5
13125c55c45374
14751dcc80b49
153a6766178be
hex1f02b5a0f2d

2131031101229 has 2 divisors, whose sum is σ = 2131031101230. Its totient is φ = 2131031101228.

The previous prime is 2131031101207. The next prime is 2131031101313. The reversal of 2131031101229 is 9221011301312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2096805361225 + 34225740004 = 1448035^2 + 185002^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131031101229 - 236 = 2062311624493 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2131031101198 and 2131031101207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131031191229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065515550614 + 1065515550615.

It is an arithmetic number, because the mean of its divisors is an integer number (1065515550615).

Almost surely, 22131031101229 is an apocalyptic number.

It is an amenable number.

2131031101229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131031101229 is an equidigital number, since it uses as much as digits as its factorization.

2131031101229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 2131031101229 in words is "two trillion, one hundred thirty-one billion, thirty-one million, one hundred one thousand, two hundred twenty-nine".