Search a number
-
+
103993071 = 37131672281
BaseRepresentation
bin1100011001011…
…00111011101111
321020200101200020
412030230323233
5203110234241
614152533223
72401632540
oct614547357
9236611606
10103993071
1153779596
122a9b1213
1318711180
14db504c7
1591e2b66
hex632ceef

103993071 has 32 divisors (see below), whose sum is σ = 171752448. Its totient is φ = 54501120.

The previous prime is 103993069. The next prime is 103993073. The reversal of 103993071 is 170399301.

It is an interprime number because it is at equal distance from previous prime (103993069) and next prime (103993073).

It is not a de Polignac number, because 103993071 - 21 = 103993069 is a prime.

It is a super-2 number, since 2×1039930712 = 21629117632022082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103993073) 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 31 ways as a sum of consecutive naturals, for example, 44451 + ... + 46731.

It is an arithmetic number, because the mean of its divisors is an integer number (5367264).

Almost surely, 2103993071 is an apocalyptic number.

103993071 is a deficient number, since it is larger than the sum of its proper divisors (67759377).

103993071 is a wasteful number, since it uses less digits than its factorization.

103993071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471.

The product of its (nonzero) digits is 5103, while the sum is 33.

The square root of 103993071 is about 10197.6992993518. The cubic root of 103993071 is about 470.2564934673.

Multiplying 103993071 by its sum of digits (33), we get a palindrome (3431771343).

It can be divided in two parts, 1039 and 93071, that multiplied together give a palindrome (96700769).

The spelling of 103993071 in words is "one hundred three million, nine hundred ninety-three thousand, seventy-one".

Divisors: 1 3 7 13 21 39 91 167 273 501 1169 2171 2281 3507 6513 6843 15197 15967 29653 45591 47901 88959 207571 380927 622713 1142781 2666489 4952051 7999467 14856153 34664357 103993071