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112121131331 = 1123443166527
BaseRepresentation
bin110100001101011110…
…0001011000101000011
3101201101220200121112202
41220122330023011003
53314111002200311
6123301400543415
711046315614546
oct1503274130503
9351356617482
10112121131331
1143606501510
1219891181b6b
13a75aaa60c1
1455d8bb085d
152db3435e3b
hex1a1af0b143

112121131331 has 8 divisors (see below), whose sum is σ = 127631960064. Its totient is φ = 97496635720.

The previous prime is 112121131229. The next prime is 112121131337. The reversal of 112121131331 is 133131121211.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-112121131331 is a prime.

It is a super-2 number, since 2×1121211313312 (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 (112121131337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221583011 + ... + 221583516.

It is an arithmetic number, because the mean of its divisors is an integer number (15953995008).

Almost surely, 2112121131331 is an apocalyptic number.

112121131331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112121131331 is a deficient number, since it is larger than the sum of its proper divisors (15510828733).

112121131331 is a wasteful number, since it uses less digits than its factorization.

112121131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443166561.

The product of its digits is 108, while the sum is 20.

Adding to 112121131331 its reverse (133131121211), we get a palindrome (245252252542).

The spelling of 112121131331 in words is "one hundred twelve billion, one hundred twenty-one million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 11 23 253 443166527 4874831797 10192830121 112121131331