Search a number
-
+
2300400011141 is a prime number
BaseRepresentation
bin100001011110011010100…
…001101000011110000101
322010220201211110112211122
4201132122201220132011
5300142204400324031
64520442243443325
7325125025316561
oct41363241503605
98126654415748
102300400011141
11807659920401
123119bb386545
13138c0820965b
147d4a8b9a6a1
153ec8a85347b
hex2179a868785

2300400011141 has 2 divisors, whose sum is σ = 2300400011142. Its totient is φ = 2300400011140.

The previous prime is 2300400011113. The next prime is 2300400011167. The reversal of 2300400011141 is 1411100040032.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2297864888641 + 2535122500 = 1515871^2 + 50350^2 .

It is a cyclic number.

It is not a de Polignac number, because 2300400011141 - 214 = 2300399994757 is a prime.

It is a super-2 number, since 2×23004000111412 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2300400014141) 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 as a sum of consecutive naturals, namely, 1150200005570 + 1150200005571.

It is an arithmetic number, because the mean of its divisors is an integer number (1150200005571).

Almost surely, 22300400011141 is an apocalyptic number.

It is an amenable number.

2300400011141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2300400011141 is an equidigital number, since it uses as much as digits as its factorization.

2300400011141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2300400011141 its reverse (1411100040032), we get a palindrome (3711500051173).

The spelling of 2300400011141 in words is "two trillion, three hundred billion, four hundred million, eleven thousand, one hundred forty-one".