Search a number
-
+
103416251325 = 35253103252589
BaseRepresentation
bin110000001010000010…
…1101100001110111101
3100212221020220220001120
41200110011230032331
53143244030020300
6115301521101153
710320515426622
oct1402405541675
9325836826046
10103416251325
113a949861302
1218061a877b9
1399a150562a
145010a5c349
152a541023a0
hex181416c3bd

103416251325 has 48 divisors (see below), whose sum is σ = 175899634560. Its totient is φ = 53589070080.

The previous prime is 103416251291. The next prime is 103416251329. The reversal of 103416251325 is 523152614301.

It is not a de Polignac number, because 103416251325 - 224 = 103399474109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103416251329) 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 in 47 ways as a sum of consecutive naturals, for example, 283131 + ... + 535719.

It is an arithmetic number, because the mean of its divisors is an integer number (3664575720).

Almost surely, 2103416251325 is an apocalyptic number.

103416251325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103416251325 is a deficient number, since it is larger than the sum of its proper divisors (72483383235).

103416251325 is a wasteful number, since it uses less digits than its factorization.

103416251325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252758 (or 252753 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 103416251325 its reverse (523152614301), we get a palindrome (626568865626).

The spelling of 103416251325 in words is "one hundred three billion, four hundred sixteen million, two hundred fifty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 53 75 103 159 265 309 515 795 1325 1545 2575 3975 5459 7725 16377 27295 81885 136475 252589 409425 757767 1262945 3788835 6314725 13387217 18944175 26016667 40161651 66936085 78050001 130083335 200808255 334680425 390250005 650416675 1004041275 1378883351 1951250025 4136650053 6894416755 20683250265 34472083775 103416251325