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1220430144021 = 311241132034789
BaseRepresentation
bin10001110000100111010…
…011100010001000010101
311022200010212121221220020
4101300213103202020111
5124443420104102041
62332354033255353
7154113253030104
oct21604723421025
94280125557806
101220430144021
11430643aaa740
1217863b704559
138b11712961a
14430d79c003b
1521b2d5c1866
hex11c274e2215

1220430144021 has 32 divisors (see below), whose sum is σ = 1776832796160. Its totient is φ = 738962683200.

The previous prime is 1220430143851. The next prime is 1220430144029. The reversal of 1220430144021 is 1204410340221.

It is not a de Polignac number, because 1220430144021 - 215 = 1220430111253 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1220430143982 and 1220430144000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220430144029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254837895 + ... + 254842683.

It is an arithmetic number, because the mean of its divisors is an integer number (55526024880).

Almost surely, 21220430144021 is an apocalyptic number.

1220430144021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1220430144021 is a deficient number, since it is larger than the sum of its proper divisors (556402652139).

1220430144021 is a wasteful number, since it uses less digits than its factorization.

1220430144021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10417.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1220430144021 its reverse (1204410340221), we get a palindrome (2424840484242).

The spelling of 1220430144021 in words is "one trillion, two hundred twenty billion, four hundred thirty million, one hundred forty-four thousand, twenty-one".

Divisors: 1 3 11 33 2411 3203 4789 7233 9609 14367 26521 35233 52679 79563 105699 158037 7722433 11546279 15339167 23167299 34638837 46017501 84946763 127009069 168730837 254840289 381027207 506192511 36982731637 110948194911 406810048007 1220430144021