Search a number
-
+
103331381677 is a prime number
BaseRepresentation
bin110000000111100000…
…1111100000110101101
3100212201100020001210021
41200033001330012231
53143110313203202
6115245250042141
710315435152346
oct1401701740655
9325640201707
10103331381677
113a9059644a7
1218039579351
139989a5b8c4
1450036890cd
152a4b93aa37
hex180f07c1ad

103331381677 has 2 divisors, whose sum is σ = 103331381678. Its totient is φ = 103331381676.

The previous prime is 103331381653. The next prime is 103331381693. The reversal of 103331381677 is 776183133301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101136084361 + 2195297316 = 318019^2 + 46854^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103331381677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103331381177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51665690838 + 51665690839.

It is an arithmetic number, because the mean of its divisors is an integer number (51665690839).

Almost surely, 2103331381677 is an apocalyptic number.

It is an amenable number.

103331381677 is a deficient number, since it is larger than the sum of its proper divisors (1).

103331381677 is an equidigital number, since it uses as much as digits as its factorization.

103331381677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 190512, while the sum is 43.

The spelling of 103331381677 in words is "one hundred three billion, three hundred thirty-one million, three hundred eighty-one thousand, six hundred seventy-seven".