Search a number
-
+
22144221210013 = 73331647301463
BaseRepresentation
bin1010000100011110110100…
…11100000110010110011101
32220101222002211221220220121
411002033122130012112131
510400302331112210023
6115032525332114541
74443603305416000
oct502173234062635
986358084856817
1022144221210013
117068347635581
122597846a65a51
13c48263b00ba6
14567b00bd3537
1528604e453d5d
hex1423da70659d

22144221210013 has 32 divisors (see below), whose sum is σ = 25942303641600. Its totient is φ = 18894106733040.

The previous prime is 22144221209989. The next prime is 22144221210019. The reversal of 22144221210013 is 31001212244122.

It is not a de Polignac number, because 22144221210013 - 213 = 22144221201821 is a prime.

It is a super-2 number, since 2×221442212100132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22144221210013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22144221210019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73305120 + ... + 73606582.

It is an arithmetic number, because the mean of its divisors is an integer number (810696988800).

Almost surely, 222144221210013 is an apocalyptic number.

It is an amenable number.

22144221210013 is a deficient number, since it is larger than the sum of its proper divisors (3798082431587).

22144221210013 is an equidigital number, since it uses as much as digits as its factorization.

22144221210013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302462 (or 302448 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 22144221210013 its reverse (31001212244122), we get a palindrome (53145433454135).

The spelling of 22144221210013 in words is "twenty-two trillion, one hundred forty-four billion, two hundred twenty-one million, two hundred ten thousand, thirteen".

Divisors: 1 7 49 331 343 647 2317 4529 16219 31703 113533 214157 221921 301463 1499099 2110241 10493693 14771687 73455851 99784253 103401809 195046561 698489771 1365325927 4889428397 9557281489 34225998779 64560411691 66900970423 451922881837 3163460172859 22144221210013