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10344211014331 = 171995338898641
BaseRepresentation
bin1001011010000111001100…
…0001011110001010111011
31100121220012211222111202201
42112201303001132022323
52323434421004424311
634000022005411031
72115226122604315
oct226416301361273
940556184874681
1010344211014331
113328a56498797
1211b093b409a77
135a05bb5a082c
1427a93bc007b5
1512e123b419c1
hex9687305e2bb

10344211014331 has 32 divisors (see below), whose sum is σ = 11545552987200. Its totient is φ = 9210207928320.

The previous prime is 10344211014307. The next prime is 10344211014337. The reversal of 10344211014331 is 13341011244301.

10344211014331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10344211014331 - 25 = 10344211014299 is a prime.

It is a super-2 number, since 2×103442110143312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10344211014331.

It is not an unprimeable number, because it can be changed into a prime (10344211014337) 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, 1197103771 + ... + 1197112411.

It is an arithmetic number, because the mean of its divisors is an integer number (360798530850).

Almost surely, 210344211014331 is an apocalyptic number.

10344211014331 is a deficient number, since it is larger than the sum of its proper divisors (1201341972869).

10344211014331 is a wasteful number, since it uses less digits than its factorization.

10344211014331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13519.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 10344211014331 its reverse (13341011244301), we get a palindrome (23685222258632).

The spelling of 10344211014331 in words is "ten trillion, three hundred forty-four billion, two hundred eleven million, fourteen thousand, three hundred thirty-one".

Divisors: 1 17 19 323 953 3889 8641 16201 18107 66113 73891 146897 164179 307819 1256147 2791043 3706217 8234873 33604849 63005689 70418123 139992841 156462587 571282433 638492131 1197108091 2659863979 10854366227 32025421097 544432158649 608483000843 10344211014331