Search a number
-
+
1013231013023 is a prime number
BaseRepresentation
bin11101011111010010100…
…01100100110010011111
310120212022210220112020102
432233221101210302133
5113100044114404043
62053245533011315
7133126544336015
oct16575121446237
93525283815212
101013231013023
113607885458a9
12144455023b3b
1374716492928
143707d7488b5
151b5530eb6b8
hexebe9464c9f

1013231013023 has 2 divisors, whose sum is σ = 1013231013024. Its totient is φ = 1013231013022.

The previous prime is 1013231013013. The next prime is 1013231013103. The reversal of 1013231013023 is 3203101323101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1013231013023 - 218 = 1013230750879 is a prime.

It is a super-2 number, since 2×10132310130232 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013231012986 and 1013231013004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013231013013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506615506511 + 506615506512.

It is an arithmetic number, because the mean of its divisors is an integer number (506615506512).

Almost surely, 21013231013023 is an apocalyptic number.

1013231013023 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013231013023 is an equidigital number, since it uses as much as digits as its factorization.

1013231013023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1013231013023 its reverse (3203101323101), we get a palindrome (4216332336124).

The spelling of 1013231013023 in words is "one trillion, thirteen billion, two hundred thirty-one million, thirteen thousand, twenty-three".