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12213101131 = 7112321413221
BaseRepresentation
bin10110101111111010…
…10010001001001011
31011112011002211010221
423113331102021023
5200003023214011
65335521050511
7611436434560
oct132775221113
934464084127
1012213101131
1151a7a82710
12244a186a37
1311c835807a
1483c050867
154b7316971
hex2d7f5224b

12213101131 has 32 divisors (see below), whose sum is σ = 15901111296. Its totient is φ = 9095856000.

The previous prime is 12213101129. The next prime is 12213101137. The reversal of 12213101131 is 13110131221.

It is a happy number.

It is not a de Polignac number, because 12213101131 - 21 = 12213101129 is a prime.

It is a super-2 number, since 2×122131011312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12213101137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3790101 + ... + 3793321.

It is an arithmetic number, because the mean of its divisors is an integer number (496909728).

Almost surely, 212213101131 is an apocalyptic number.

12213101131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12213101131 is a deficient number, since it is larger than the sum of its proper divisors (3688010165).

12213101131 is a wasteful number, since it uses less digits than its factorization.

12213101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5403.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12213101131 its reverse (13110131221), we get a palindrome (25323232352).

The spelling of 12213101131 in words is "twelve billion, two hundred thirteen million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 7 11 23 77 161 253 1771 2141 3221 14987 22547 23551 35431 49243 74083 164857 248017 344701 518581 541673 814913 3791711 5704391 6896161 48273127 75857771 158611703 531004397 1110281921 1744728733 12213101131