Search a number
-
+
51080100 = 22352170267
BaseRepresentation
bin1100001011011…
…0101110100100
310120010010201120
43002312232210
5101034030400
65022453540
71160113401
oct302665644
9116103646
1051080100
1126919265
12151342b0
13a775c16
146ad92a8
15473eca0
hex30b6ba4

51080100 has 36 divisors (see below), whose sum is σ = 147792624. Its totient is φ = 13621280.

The previous prime is 51080093. The next prime is 51080111. The reversal of 51080100 is 108015.

It is a happy number.

51080100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 51080100.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 84834 + ... + 85433.

Almost surely, 251080100 is an apocalyptic number.

51080100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51080100 is an abundant number, since it is smaller than the sum of its proper divisors (96712524).

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

51080100 is a wasteful number, since it uses less digits than its factorization.

51080100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170284 (or 170277 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 51080100 is about 7147.0343499944. The cubic root of 51080100 is about 371.0370225790.

Adding to 51080100 its reverse (108015), we get a palindrome (51188115).

The spelling of 51080100 in words is "fifty-one million, eighty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 170267 340534 510801 681068 851335 1021602 1702670 2043204 2554005 3405340 4256675 5108010 8513350 10216020 12770025 17026700 25540050 51080100