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112624426211 = 1148132127277
BaseRepresentation
bin110100011100011110…
…0000101110011100011
3101202200222201122022212
41220320330011303203
53321123323114321
6123423340152335
711064636553553
oct1507074056343
9352628648285
10112624426211
11438446093a0
12199b18386ab
13a80b142b1b
145645983163
152de270055b
hex1a38f05ce3

112624426211 has 8 divisors (see below), whose sum is σ = 122888595504. Its totient is φ = 102364521120.

The previous prime is 112624426153. The next prime is 112624426241.

112624426211 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112624426211 is a prime.

It is a super-2 number, since 2×1126244262112 (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 (112624426241) 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 7 ways as a sum of consecutive naturals, for example, 1010696 + ... + 1116581.

It is an arithmetic number, because the mean of its divisors is an integer number (15361074438).

Almost surely, 2112624426211 is an apocalyptic number.

112624426211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112624426211 is a deficient number, since it is larger than the sum of its proper divisors (10264169293).

112624426211 is a wasteful number, since it uses less digits than its factorization.

112624426211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132101.

The product of its digits is 9216, while the sum is 32.

It can be divided in two parts, 112624 and 426211, that added together give a palindrome (538835).

The spelling of 112624426211 in words is "one hundred twelve billion, six hundred twenty-four million, four hundred twenty-six thousand, two hundred eleven".

Divisors: 1 11 4813 52943 2127277 23400047 10238584201 112624426211