Search a number
-
+
12507307000 = 2353123710111
BaseRepresentation
bin10111010010111111…
…00101101111111000
31012021122201000201121
423221133211233320
5201103332311000
65425030555024
7621641232616
oct135137455770
935248630647
1012507307000
115339059961
122510808a74
1312442a7796
148691566b6
154d307db1a
hex2e97e5bf8

12507307000 has 64 divisors (see below), whose sum is σ = 29293655040. Its totient is φ = 4998384000.

The previous prime is 12507306991. The next prime is 12507307003. The reversal of 12507307000 is 70370521.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12507307003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1231945 + ... + 1242055.

It is an arithmetic number, because the mean of its divisors is an integer number (457713360).

Almost surely, 212507307000 is an apocalyptic number.

12507307000 is a gapful number since it is divisible by the number (10) 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 12507307000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14646827520).

12507307000 is an abundant number, since it is smaller than the sum of its proper divisors (16786348040).

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

12507307000 is a wasteful number, since it uses less digits than its factorization.

12507307000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11369 (or 11355 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

Adding to 12507307000 its reverse (70370521), we get a palindrome (12577677521).

The spelling of 12507307000 in words is "twelve billion, five hundred seven million, three hundred seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1237 2474 4948 6185 9896 10111 12370 20222 24740 30925 40444 49480 50555 61850 80888 101110 123700 154625 202220 247400 252775 309250 404440 505550 618500 1011100 1237000 1263875 2022200 2527750 5055500 10111000 12507307 25014614 50029228 62536535 100058456 125073070 250146140 312682675 500292280 625365350 1250730700 1563413375 2501461400 3126826750 6253653500 12507307000