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12221130031 = 11311092771187
BaseRepresentation
bin10110110000110111…
…11010010100101111
31011112201012201201121
423120123322110233
5200012102130111
65340405121411
7611564614465
oct133033722457
934481181647
1012221130031
115201566970
1224509b9267
1311c9c096b6
1483d140835
154b7da0871
hex2d86fa52f

12221130031 has 32 divisors (see below), whose sum is σ = 13950351360. Its totient is φ = 10605686400.

The previous prime is 12221130013. The next prime is 12221130037. The reversal of 12221130031 is 13003112221.

It is a cyclic number.

It is not a de Polignac number, because 12221130031 - 219 = 12220605743 is a prime.

It is a super-2 number, since 2×122211300312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12221129987 and 12221130014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221130037) 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, 10295220 + ... + 10296406.

It is an arithmetic number, because the mean of its divisors is an integer number (435948480).

Almost surely, 212221130031 is an apocalyptic number.

12221130031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12221130031 is a deficient number, since it is larger than the sum of its proper divisors (1729221329).

12221130031 is a wasteful number, since it uses less digits than its factorization.

12221130031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12221130031 its reverse (13003112221), we get a palindrome (25224242252).

The spelling of 12221130031 in words is "twelve billion, two hundred twenty-one million, one hundred thirty thousand, thirty-one".

Divisors: 1 11 31 109 277 341 1187 1199 3047 3379 8587 13057 30193 36797 37169 94457 129383 328799 332123 404767 935983 1423213 3616789 4010873 10192769 10295813 35839091 44119603 112120459 394230001 1111011821 12221130031