Search a number
-
+
1030023003101 is a prime number
BaseRepresentation
bin11101111110100100010…
…01111011101111011101
310122110200002000000011212
432333102021323233131
5113333441342044401
62105104103354205
7134262634032221
oct16772211735735
93573602000155
101030023003101
11367915150554
12147760752965
1376191355c31
1437bd395c781
151bbd73d5dbb
hexefd227bbdd

1030023003101 has 2 divisors, whose sum is σ = 1030023003102. Its totient is φ = 1030023003100.

The previous prime is 1030023003083. The next prime is 1030023003109. The reversal of 1030023003101 is 1013003200301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1016364406201 + 13658596900 = 1008149^2 + 116870^2 .

It is a cyclic number.

It is not a de Polignac number, because 1030023003101 - 234 = 1012843133917 is a prime.

It is a super-3 number, since 3×10300230031013 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1030023003109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515011501550 + 515011501551.

It is an arithmetic number, because the mean of its divisors is an integer number (515011501551).

Almost surely, 21030023003101 is an apocalyptic number.

It is an amenable number.

1030023003101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1030023003101 is an equidigital number, since it uses as much as digits as its factorization.

1030023003101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1030023003101 its reverse (1013003200301), we get a palindrome (2043026203402).

The spelling of 1030023003101 in words is "one trillion, thirty billion, twenty-three million, three thousand, one hundred one".