Search a number
-
+
2123012310031 is a prime number
BaseRepresentation
bin11110111001001101011…
…001010000010000001111
321111221212101012122222201
4132321031121100100033
5234240412122410111
64303144241422331
7306245136613324
oct36711531202017
97457771178881
102123012310031
11749401114028
122a355463a9a7
131252788530c2
1474a7bcc4b4b
153a3576596c1
hex1ee4d65040f

2123012310031 has 2 divisors, whose sum is σ = 2123012310032. Its totient is φ = 2123012310030.

The previous prime is 2123012309993. The next prime is 2123012310049. The reversal of 2123012310031 is 1300132103212.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2123012310031 is a prime.

It is a super-3 number, since 3×21230123100313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2123012309990 and 2123012310008.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2123012710031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061506155015 + 1061506155016.

It is an arithmetic number, because the mean of its divisors is an integer number (1061506155016).

Almost surely, 22123012310031 is an apocalyptic number.

2123012310031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123012310031 is an equidigital number, since it uses as much as digits as its factorization.

2123012310031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2123012310031 its reverse (1300132103212), we get a palindrome (3423144413243).

The spelling of 2123012310031 in words is "two trillion, one hundred twenty-three billion, twelve million, three hundred ten thousand, thirty-one".