Search a number
-
+
103031112311093 is a prime number
BaseRepresentation
bin10111011011010011001100…
…110110011010000100110101
3111111210200022100212222002002
4113123103030312122010311
5102001030204222423333
61003043501203025045
730462516003524561
oct2733231466320465
9444720270788062
10103031112311093
112a91328197a74a
12b68015306b185
134564a3b60c385
141b62a37b786a1
15bda1206060e8
hex5db4ccd9a135

103031112311093 has 2 divisors, whose sum is σ = 103031112311094. Its totient is φ = 103031112311092.

The previous prime is 103031112311033. The next prime is 103031112311173. The reversal of 103031112311093 is 390113211130301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52076327930449 + 50954784380644 = 7216393^2 + 7138262^2 .

It is a cyclic number.

It is not a de Polignac number, because 103031112311093 - 210 = 103031112310069 is a prime.

It is a super-2 number, since 2×1030311123110932 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103031112311033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51515556155546 + 51515556155547.

It is an arithmetic number, because the mean of its divisors is an integer number (51515556155547).

Almost surely, 2103031112311093 is an apocalyptic number.

It is an amenable number.

103031112311093 is a deficient number, since it is larger than the sum of its proper divisors (1).

103031112311093 is an equidigital number, since it uses as much as digits as its factorization.

103031112311093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 29.

Adding to 103031112311093 its reverse (390113211130301), we get a palindrome (493144323441394).

The spelling of 103031112311093 in words is "one hundred three trillion, thirty-one billion, one hundred twelve million, three hundred eleven thousand, ninety-three".