Search a number
-
+
1120322311120 = 24514004028889
BaseRepresentation
bin10000010011011000011…
…010011101001111010000
310222002202012002010201101
4100103120122131033100
5121323410002423440
62214400255114144
7143640426344005
oct20233032351720
93862665063641
101120322311120
113a2142813141
12161161812954
138185219303c
143c31c4cd8ac
151e21eb8669a
hex104d869d3d0

1120322311120 has 20 divisors (see below), whose sum is σ = 2604749373540. Its totient is φ = 448128924416.

The previous prime is 1120322311103. The next prime is 1120322311127. The reversal of 1120322311120 is 211132230211.

It can be written as a sum of positive squares in 2 ways, for example, as 673226814016 + 447095497104 = 820504^2 + 668652^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120322311127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7002014365 + ... + 7002014524.

It is an arithmetic number, because the mean of its divisors is an integer number (130237468677).

Almost surely, 21120322311120 is an apocalyptic number.

1120322311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120322311120 is an abundant number, since it is smaller than the sum of its proper divisors (1484427062420).

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

1120322311120 is a wasteful number, since it uses less digits than its factorization.

1120322311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14004028902 (or 14004028896 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1120322311120 its reverse (211132230211), we get a palindrome (1331454541331).

The spelling of 1120322311120 in words is "one trillion, one hundred twenty billion, three hundred twenty-two million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14004028889 28008057778 56016115556 70020144445 112032231112 140040288890 224064462224 280080577780 560161155560 1120322311120