Search a number
-
+
2031300100000 = 255520313001
BaseRepresentation
bin11101100011110010111…
…010111011111110100000
321012012010210111200021001
4131203302322323332200
5231240100311200000
64153055534441344
7266520336651643
oct35436272737640
97165123450231
102031300100000
11713518a50226
1228981a363254
1311972109aac2
147045b843a5a
1537c8ad1646a
hex1d8f2ebbfa0

2031300100000 has 72 divisors (see below), whose sum is σ = 4998582906156. Its totient is φ = 812520000000.

The previous prime is 2031300099943. The next prime is 2031300100007. The reversal of 2031300100000 is 10031302.

It can be written as a sum of positive squares in 6 ways, for example, as 640899856 + 2030659200144 = 25316^2 + 1425012^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2031300100000.

It is not an unprimeable number, because it can be changed into a prime (2031300100007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10056501 + ... + 10256500.

Almost surely, 22031300100000 is an apocalyptic number.

2031300100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2031300100000 is an abundant number, since it is smaller than the sum of its proper divisors (2967282806156).

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

2031300100000 is an frugal number, since it uses more digits than its factorization.

2031300100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20313036 (or 20313008 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 2031300100000 its reverse (10031302), we get a palindrome (2031310131302).

The spelling of 2031300100000 in words is "two trillion, thirty-one billion, three hundred million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 20313001 40626002 81252004 101565005 162504008 203130010 325008016 406260020 507825025 650016032 812520040 1015650050 1625040080 2031300100 2539125125 3250080160 4062600200 5078250250 8125200400 10156500500 12695625625 16250400800 20313001000 25391251250 40626002000 50782502500 63478128125 81252004000 101565005000 126956256250 203130010000 253912512500 406260020000 507825025000 1015650050000 2031300100000