Search a number
-
+
12211130330031 = 331437693970801
BaseRepresentation
bin1011000110110010000000…
…0101011110101110101111
31121020101001200001010201110
42301230200011132232233
53100031343331030111
641545414341443103
72400140123136213
oct261544005365657
947211050033643
1012211130330031
113988790800766
121452722a10493
136a7673939159
14303043db8943
1516298d5ca5a6
hexb1b2015ebaf

12211130330031 has 32 divisors (see below), whose sum is σ = 17219938785280. Its totient is φ = 7684927488000.

The previous prime is 12211130330029. The next prime is 12211130330051. The reversal of 12211130330031 is 13003303111221.

It is a happy number.

It is not a de Polignac number, because 12211130330031 - 21 = 12211130330029 is a prime.

It is a super-2 number, since 2×122111303300312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211130330051) 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 31 ways as a sum of consecutive naturals, for example, 1089831 + ... + 5060631.

It is an arithmetic number, because the mean of its divisors is an integer number (538123087040).

Almost surely, 212211130330031 is an apocalyptic number.

12211130330031 is a deficient number, since it is larger than the sum of its proper divisors (5008808455249).

12211130330031 is a wasteful number, since it uses less digits than its factorization.

12211130330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971647.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12211130330031 its reverse (13003303111221), we get a palindrome (25214433441252).

The spelling of 12211130330031 in words is "twelve trillion, two hundred eleven billion, one hundred thirty million, three hundred thirty thousand, thirty-one".

Divisors: 1 3 31 43 93 129 769 1333 2307 3999 23839 33067 71517 99201 1025077 3075231 3970801 11912403 123094831 170744443 369284493 512233329 3053545969 5293077733 9160637907 15879233199 94659925039 131302476667 283979775117 393907430001 4070376776677 12211130330031