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101344124211 = 3115366618699
BaseRepresentation
bin101111001100010010…
…1001001110100110011
3100200120211211221000220
41132120211021310303
53130023043433321
6114320140144123
710215254561661
oct1363045116463
9320524757026
10101344124211
1139a86130560
1217783b38043
139731126505
144c95789c31
1529822439c6
hex1798949d33

101344124211 has 32 divisors (see below), whose sum is σ = 150230764800. Its totient is φ = 60245827200.

The previous prime is 101344124183. The next prime is 101344124227. The reversal of 101344124211 is 112421443101.

It is a happy number.

It is not a de Polignac number, because 101344124211 - 25 = 101344124179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101344123211) 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, 11645740 + ... + 11654438.

It is an arithmetic number, because the mean of its divisors is an integer number (4694711400).

Almost surely, 2101344124211 is an apocalyptic number.

101344124211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101344124211 is a deficient number, since it is larger than the sum of its proper divisors (48886640589).

101344124211 is a wasteful number, since it uses less digits than its factorization.

101344124211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15427.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101344124211 its reverse (112421443101), we get a palindrome (213765567312).

The spelling of 101344124211 in words is "one hundred one billion, three hundred forty-four million, one hundred twenty-four thousand, two hundred eleven".

Divisors: 1 3 11 33 53 159 583 1749 6661 8699 19983 26097 73271 95689 219813 287067 353033 461047 1059099 1383141 3883363 5071517 11650089 15214551 57944039 173832117 637384429 1912153287 3071034067 9213102201 33781374737 101344124211