Search a number
-
+
103827381 = 37171915307
BaseRepresentation
bin1100011000001…
…00011110110101
321020100222101120
412030010132311
5203034434011
614145214153
72400342510
oct614043665
9236328346
10103827381
1153676059
122a931359
1318683928
14db09d77
1591ada06
hex63047b5

103827381 has 32 divisors (see below), whose sum is σ = 176348160. Its totient is φ = 52897536.

The previous prime is 103827377. The next prime is 103827391. The reversal of 103827381 is 183728301.

It is not a de Polignac number, because 103827381 - 22 = 103827377 is a prime.

It is a super-2 number, since 2×1038273812 = 21560250090638322, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103827331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871 + ... + 14436.

It is an arithmetic number, because the mean of its divisors is an integer number (5510880).

Almost surely, 2103827381 is an apocalyptic number.

It is an amenable number.

103827381 is a deficient number, since it is larger than the sum of its proper divisors (72520779).

103827381 is a wasteful number, since it uses less digits than its factorization.

103827381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15353.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 103827381 is about 10189.5721696252. The cubic root of 103827381 is about 470.0066107415.

The spelling of 103827381 in words is "one hundred three million, eight hundred twenty-seven thousand, three hundred eighty-one".

Divisors: 1 3 7 17 19 21 51 57 119 133 323 357 399 969 2261 6783 15307 45921 107149 260219 290833 321447 780657 872499 1821533 2035831 4944161 5464599 6107493 14832483 34609127 103827381