Search a number
-
+
1120030220320 = 255116711638167
BaseRepresentation
bin10000010011000111000…
…000001110000000100000
310222001222211110101110121
4100103013000032000200
5121322310214022240
62214311302410024
7143630251535224
oct20230700160040
93861884411417
101120030220320
113a2002950a90
1216109ba30914
138180680424b
143c2d17b8784
151e2041db04a
hex104c700e020

1120030220320 has 192 divisors, whose sum is σ = 2932585399296. Its totient is φ = 400810798080.

The previous prime is 1120030220303. The next prime is 1120030220357. The reversal of 1120030220320 is 230220300211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1120030220294 and 1120030220303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137136877 + ... + 137145043.

It is an arithmetic number, because the mean of its divisors is an integer number (15273882288).

Almost surely, 21120030220320 is an apocalyptic number.

1120030220320 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 1120030220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466292699648).

1120030220320 is an abundant number, since it is smaller than the sum of its proper divisors (1812555178976).

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

1120030220320 is a wasteful number, since it uses less digits than its factorization.

1120030220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9423 (or 9415 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1120030220320 its reverse (230220300211), we get a palindrome (1350250520531).

The spelling of 1120030220320 in words is "one trillion, one hundred twenty billion, thirty million, two hundred twenty thousand, three hundred twenty".