Search a number
-
+
103031011133431 is a prime number
BaseRepresentation
bin10111011011010011000110…
…110100011100011111110111
3111111210200001022111121102021
4113123103012310130133313
5102001030002322232211
61003043443150254011
730462513334526143
oct2733230664343767
9444720038447367
10103031011133431
112a91322a854447
12b6801251b7307
134564a23675834
141b62a2855c223
15bda1167bc771
hex5db4c6d1c7f7

103031011133431 has 2 divisors, whose sum is σ = 103031011133432. Its totient is φ = 103031011133430.

The previous prime is 103031011133389. The next prime is 103031011133489. The reversal of 103031011133431 is 134331110130301.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 103031011133431 - 211 = 103031011131383 is a prime.

It is a super-4 number, since 4×1030310111334314 (a number of 57 digits) contains 4444 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 = 103031011133396 and 103031011133405.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103031011103431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51515505566715 + 51515505566716.

It is an arithmetic number, because the mean of its divisors is an integer number (51515505566716).

Almost surely, 2103031011133431 is an apocalyptic number.

103031011133431 is a deficient number, since it is larger than the sum of its proper divisors (1).

103031011133431 is an equidigital number, since it uses as much as digits as its factorization.

103031011133431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 103031011133431 its reverse (134331110130301), we get a palindrome (237362121263732).

The spelling of 103031011133431 in words is "one hundred three trillion, thirty-one billion, eleven million, one hundred thirty-three thousand, four hundred thirty-one".