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112121121211 = 112329101151303
BaseRepresentation
bin110100001101011110…
…0001000100110111011
3101201101220200002122221
41220122330020212323
53314111001334321
6123301400424511
711046315543211
oct1503274104673
9351356602587
10112121121211
11436064a4950
1219891178137
13a75aaa1608
1455d8baacb1
152db3432e41
hex1a1af089bb

112121121211 has 32 divisors (see below), whose sum is σ = 133341189120. Its totient is φ = 93202032000.

The previous prime is 112121121197. The next prime is 112121121251.

112121121211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112121121211 - 213 = 112121113019 is a prime.

It is a super-2 number, since 2×1121211212112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112121121251) 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, 665386 + ... + 816688.

It is an arithmetic number, because the mean of its divisors is an integer number (4166912160).

Almost surely, 2112121121211 is an apocalyptic number.

112121121211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112121121211 is a deficient number, since it is larger than the sum of its proper divisors (21220067909).

112121121211 is a wasteful number, since it uses less digits than its factorization.

112121121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151467.

The product of its digits is 16, while the sum is 16.

It can be divided in two parts, 112121 and 121211, that added together give a palindrome (233332).

The spelling of 112121121211 in words is "one hundred twelve billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 11 23 29 101 253 319 667 1111 2323 2929 7337 25553 32219 67367 151303 741037 1664333 3479969 4387787 15281603 38279659 48265657 100919101 168097633 351476869 443166487 1110110111 3866245559 4874831357 10192829201 112121121211