Search a number
-
+
3013012500 = 2235580347
BaseRepresentation
bin1011001110010110…
…1110110000010100
321202222111220010120
42303211232300110
522132312400000
61214551151540
7134444120001
oct26345566024
97688456116
103013012500
111306848983
127010755b0
133902bc344
142082328a8
151297b46a0
hexb396ec14

3013012500 has 72 divisors (see below), whose sum is σ = 8787500064. Its totient is φ = 803460000.

The previous prime is 3013012441. The next prime is 3013012501. The reversal of 3013012500 is 52103103.

It is a happy number.

3013012500 is digitally balanced in base 2 and base 4, because in such bases 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 3013012500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013012501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2674 + ... + 77673.

It is an arithmetic number, because the mean of its divisors is an integer number (122048612).

Almost surely, 23013012500 is an apocalyptic number.

3013012500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393750032).

3013012500 is an abundant number, since it is smaller than the sum of its proper divisors (5774487564).

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

3013012500 is an equidigital number, since it uses as much as digits as its factorization.

3013012500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80379 (or 80357 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 3013012500 is about 54890.9145487666. The cubic root of 3013012500 is about 1444.3318151278.

Adding to 3013012500 its reverse (52103103), we get a palindrome (3065115603).

The spelling of 3013012500 in words is "three billion, thirteen million, twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 625 750 1250 1500 1875 2500 3125 3750 6250 7500 9375 12500 18750 37500 80347 160694 241041 321388 401735 482082 803470 964164 1205205 1606940 2008675 2410410 4017350 4820820 6026025 8034700 10043375 12052050 20086750 24104100 30130125 40173500 50216875 60260250 100433750 120520500 150650625 200867500 251084375 301301250 502168750 602602500 753253125 1004337500 1506506250 3013012500