Search a number
-
+
22011042141 = 3411151163601
BaseRepresentation
bin10100011111111101…
…011101100101011101
32002210222122210110000
4110133331131211131
5330034311322031
614040045004513
71406311525344
oct243775354535
962728583400
1022011042141
119375728820
124323553739
1320ca219cba
1410cb416b5b
1588c5b03e6
hex51ff5d95d

22011042141 has 40 divisors (see below), whose sum is σ = 36107615808. Its totient is φ = 13251600000.

The previous prime is 22011042121. The next prime is 22011042239. The reversal of 22011042141 is 14124011022.

22011042141 is a `hidden beast` number, since 2 + 201 + 1 + 0 + 421 + 41 = 666.

It is not a de Polignac number, because 22011042141 - 225 = 21977487709 is a prime.

It is a super-2 number, since 2×220110421412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011042121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52741 + ... + 216341.

Almost surely, 222011042141 is an apocalyptic number.

It is an amenable number.

22011042141 is a deficient number, since it is larger than the sum of its proper divisors (14096573667).

22011042141 is a wasteful number, since it uses less digits than its factorization.

22011042141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163775 (or 163766 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22011042141 its reverse (14124011022), we get a palindrome (36135053163).

The spelling of 22011042141 in words is "twenty-two billion, eleven million, forty-two thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 81 99 151 297 453 891 1359 1661 4077 4983 12231 14949 44847 134541 163601 490803 1472409 1799611 4417227 5398833 13251681 16196499 24703751 48589497 74111253 145768491 222333759 271741261 667001277 815223783 2001003831 2445671349 7337014047 22011042141