Search a number
-
+
103005045 = 325111316007
BaseRepresentation
bin1100010001110…
…11101101110101
321011211012100200
412020323231311
5202332130140
614115431113
72360346153
oct610735565
9234735320
10103005045
1153164240
122a5b5499
1318456540
14d9743d3
15909a030
hex623bb75

103005045 has 48 divisors (see below), whose sum is σ = 209768832. Its totient is φ = 46097280.

The previous prime is 103005011. The next prime is 103005053. The reversal of 103005045 is 540500301.

It is not a de Polignac number, because 103005045 - 26 = 103004981 is a prime.

It is a super-2 number, since 2×1030050452 = 21220078590904050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1569 + ... + 14438.

It is an arithmetic number, because the mean of its divisors is an integer number (4370184).

Almost surely, 2103005045 is an apocalyptic number.

103005045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103005045 is an abundant number, since it is smaller than the sum of its proper divisors (106763787).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103005045 is a wasteful number, since it uses less digits than its factorization.

103005045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16042 (or 16039 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 103005045 is about 10149.1401113592. The cubic root of 103005045 is about 468.7624679350.

Adding to 103005045 its reverse (540500301), we get a palindrome (643505346).

The spelling of 103005045 in words is "one hundred three million, five thousand, forty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 2145 6435 16007 48021 80035 144063 176077 208091 240105 528231 624273 720315 880385 1040455 1584693 1872819 2289001 2641155 3121365 6867003 7923465 9364095 11445005 20601009 34335015 103005045