Search a number
-
+
1121020220320 = 255721121390901
BaseRepresentation
bin10000010100000010000…
…000110001001110100000
310222011112211022121011021
4100110002000301032200
5121331322134022240
62214553425455224
7143663632436500
oct20240200611640
93864484277137
101121020220320
113a2470764700
121613174a1514
138193394c870
143c387081a00
151e26109454a
hex105020313a0

1121020220320 has 432 divisors, whose sum is σ = 3646865704104. Its totient is φ = 322527744000.

The previous prime is 1121020220311. The next prime is 1121020220377. The reversal of 1121020220320 is 230220201211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 471326187024 + 649694033296 = 686532^2 + 806036^2 .

It is a super-3 number, since 3×11210202203203 (a number of 37 digits) contains 333 as substring.

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 = 1121020220294 and 1121020220303.

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 71 ways as a sum of consecutive naturals, for example, 12286870 + ... + 12377770.

Almost surely, 21121020220320 is an apocalyptic number.

1121020220320 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 1121020220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823432852052).

1121020220320 is an abundant number, since it is smaller than the sum of its proper divisors (2525845483784).

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

1121020220320 is a wasteful number, since it uses less digits than its factorization.

1121020220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90965 (or 90939 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1121020220320 its reverse (230220201211), we get a palindrome (1351240421531).

The spelling of 1121020220320 in words is "one trillion, one hundred twenty-one billion, twenty million, two hundred twenty thousand, three hundred twenty".