Search a number
-
+
10222011011001 = 3171201166887251
BaseRepresentation
bin1001010010111111111101…
…0101011100111110111001
31100012012210112010011001110
42110233333111130332321
52314434134304323001
633423532123310533
72103341650660116
oct224577725347671
940165715104043
1010222011011001
1132911488015a9
12119111697b449
13591c1568345a
14274a6861990d
1512ad7096d3d6
hex94bff55cfb9

10222011011001 has 16 divisors (see below), whose sum is σ = 14443090337088. Its totient is φ = 6408470400000.

The previous prime is 10222011010993. The next prime is 10222011011011. The reversal of 10222011011001 is 10011011022201.

It is not a de Polignac number, because 10222011011001 - 23 = 10222011010993 is a prime.

It is a super-2 number, since 2×102220110110012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10222011011011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83382375 + ... + 83504876.

It is an arithmetic number, because the mean of its divisors is an integer number (902693146068).

Almost surely, 210222011011001 is an apocalyptic number.

It is an amenable number.

10222011011001 is a deficient number, since it is larger than the sum of its proper divisors (4221079326087).

10222011011001 is a wasteful number, since it uses less digits than its factorization.

10222011011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166888472.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10222011011001 its reverse (10011011022201), we get a palindrome (20233022033202).

The spelling of 10222011011001 in words is "ten trillion, two hundred twenty-two billion, eleven million, eleven thousand, one".

Divisors: 1 3 17 51 1201 3603 20417 61251 166887251 500661753 2837083267 8511249801 200431588451 601294765353 3407337003667 10222011011001