Search a number
-
+
1030311322320 = 243572229382583
BaseRepresentation
bin11101111111000110101…
…01110010001011010000
310122111102011112010210110
432333203111302023100
5113340034144303240
62105152443201320
7134303034512100
oct16774325621320
93574364463713
101030311322320
11367a52976aa5
12147821216240
1376208cc4117
1437c1dd71200
151bc02888c80
hexefe35722d0

1030311322320 has 240 divisors, whose sum is σ = 3731663122560. Its totient is φ = 234470734848.

The previous prime is 1030311322297. The next prime is 1030311322331. The reversal of 1030311322320 is 232231130301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2501749 + ... + 2884331.

It is an arithmetic number, because the mean of its divisors is an integer number (15548596344).

Almost surely, 21030311322320 is an apocalyptic number.

1030311322320 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 1030311322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865831561280).

1030311322320 is an abundant number, since it is smaller than the sum of its proper divisors (2701351800240).

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

1030311322320 is a wasteful number, since it uses less digits than its factorization.

1030311322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382842 (or 382829 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1030311322320 its reverse (232231130301), we get a palindrome (1262542452621).

The spelling of 1030311322320 in words is "one trillion, thirty billion, three hundred eleven million, three hundred twenty-two thousand, three hundred twenty".