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1031222310001 = 13535009298801
BaseRepresentation
bin11110000000110011010…
…00111011010001110001
310122120202122201002221221
433000121220323101301
5113343420402410001
62105423104545041
7134334436002622
oct17003150732161
93576678632857
101031222310001
11368380123584
12147a36322181
1376322966aa0
1437ca8d4ba49
151bc578361a1
hexf019a3b471

1031222310001 has 16 divisors (see below), whose sum is σ = 1131730503120. Its totient is φ = 933747609600.

The previous prime is 1031222309959. The next prime is 1031222310059. The reversal of 1031222310001 is 1000132221301.

It can be written as a sum of positive squares in 8 ways, for example, as 145649089600 + 885573220401 = 381640^2 + 941049^2 .

It is not a de Polignac number, because 1031222310001 - 227 = 1031088092273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1031222310091) 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 15 ways as a sum of consecutive naturals, for example, 3301801 + ... + 3600601.

It is an arithmetic number, because the mean of its divisors is an integer number (70733156445).

Almost surely, 21031222310001 is an apocalyptic number.

It is an amenable number.

1031222310001 is a deficient number, since it is larger than the sum of its proper divisors (100508193119).

1031222310001 is a wasteful number, since it uses less digits than its factorization.

1031222310001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303876.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1031222310001 its reverse (1000132221301), we get a palindrome (2031354531302).

The spelling of 1031222310001 in words is "one trillion, thirty-one billion, two hundred twenty-two million, three hundred ten thousand, one".

Divisors: 1 13 53 689 5009 65117 265477 298801 3451201 3884413 15836453 205873889 1496694209 19457024717 79324793077 1031222310001