Search a number
-
+
2031300222000 = 243537193789773
BaseRepresentation
bin11101100011110010111…
…011011001110000110000
321012012010210201212121120
4131203302323121300300
5231240100324101000
64153055541222240
7266520341000430
oct35436273316060
97165123655546
102031300222000
11713519023955
1228981a401980
131197211114aa
147045b8762c0
1537c8ad3c6a0
hex1d8f2ed9c30

2031300222000 has 1280 divisors, whose sum is σ = 8192818483200. Its totient is φ = 422616268800.

The previous prime is 2031300221983. The next prime is 2031300222041. The reversal of 2031300222000 is 2220031302.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2627813614 + ... + 2627814386.

It is an arithmetic number, because the mean of its divisors is an integer number (6400639440).

Almost surely, 22031300222000 is an apocalyptic number.

2031300222000 is a gapful number since it is divisible by the number (20) 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 2031300222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096409241600).

2031300222000 is an abundant number, since it is smaller than the sum of its proper divisors (6161518261200).

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

2031300222000 is a wasteful number, since it uses less digits than its factorization.

2031300222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2031300222000 its reverse (2220031302), we get a palindrome (2033520253302).

The spelling of 2031300222000 in words is "two trillion, thirty-one billion, three hundred million, two hundred twenty-two thousand".