Search a number
-
+
103031331334125 = 353833310243577
BaseRepresentation
bin10111011011010011011001…
…111001111010011111101101
3111111210200212122000111012020
4113123103121321322133231
5102001031131310143000
61003043535025300353
730462524303301645
oct2733233171723755
9444720778014166
10103031331334125
112a913384575a17
12b6801b44946b9
134564a74ac71bc
141b62a58cad525
15bda13496bba0
hex5db4d9e7a7ed

103031331334125 has 32 divisors (see below), whose sum is σ = 173509727384448. Its totient is φ = 54287994646400.

The previous prime is 103031331334121. The next prime is 103031331334187. The reversal of 103031331334125 is 521433133130301.

It is a happy number.

It is not a de Polignac number, because 103031331334125 - 22 = 103031331334121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103031331334121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1655090664 + ... + 1655152913.

It is an arithmetic number, because the mean of its divisors is an integer number (5422178980764).

Almost surely, 2103031331334125 is an apocalyptic number.

103031331334125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103031331334125 is a deficient number, since it is larger than the sum of its proper divisors (70478396050323).

103031331334125 is an equidigital number, since it uses as much as digits as its factorization.

103031331334125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310243678 (or 3310243668 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

Adding to 103031331334125 its reverse (521433133130301), we get a palindrome (624464464464426).

The spelling of 103031331334125 in words is "one hundred three trillion, thirty-one billion, three hundred thirty-one million, three hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 83 125 249 375 415 1245 2075 6225 10375 31125 3310243577 9930730731 16551217885 49653653655 82756089425 248268268275 274750216891 413780447125 824250650673 1241341341375 1373751084455 4121253253365 6868755422275 20606266266825 34343777111375 103031331334125