Search a number
-
+
1010022322320 = 243351131133109
BaseRepresentation
bin11101011001010100000…
…01011001000010010000
310120120001012012011002000
432230222001121002100
5113022011203303240
62051555311354000
7132654203041434
oct16545201310220
93516035164060
101010022322320
1135a3912a7000
121438ba522900
13743247a048b
1436c5753a9c4
151b416583430
hexeb2a059090

1010022322320 has 640 divisors, whose sum is σ = 3861706406400. Its totient is φ = 242608988160.

The previous prime is 1010022322319. The next prime is 1010022322333. The reversal of 1010022322320 is 232232200101.

1010022322320 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 22 + 322 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1010022322293 and 1010022322302.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 324868926 + ... + 324872034.

It is an arithmetic number, because the mean of its divisors is an integer number (6033916260).

Almost surely, 21010022322320 is an apocalyptic number.

1010022322320 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 1010022322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930853203200).

1010022322320 is an abundant number, since it is smaller than the sum of its proper divisors (2851684084080).

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

1010022322320 is a wasteful number, since it uses less digits than its factorization.

1010022322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1010022322320 its reverse (232232200101), we get a palindrome (1242254522421).

The spelling of 1010022322320 in words is "one trillion, ten billion, twenty-two million, three hundred twenty-two thousand, three hundred twenty".