Search a number
-
+
10223101313019 = 327374385714849
BaseRepresentation
bin1001010011000100000001…
…0100100111111111111011
31100012022121111201020020200
42110301000110213333323
52314443402414004034
633424232232253243
72103410660252160
oct224610024477773
940168544636220
1010223101313019
1132916581a2651
12119137bb41223
1359205a519b8a
14274b2d352067
1512add653aa99
hex94c40527ffb

10223101313019 has 24 divisors (see below), whose sum is σ = 17332345087200. Its totient is φ = 5683886443008.

The previous prime is 10223101313003. The next prime is 10223101313077. The reversal of 10223101313019 is 91031310132201.

10223101313019 is a `hidden beast` number, since 1 + 0 + 22 + 310 + 1 + 313 + 0 + 19 = 666.

It is not a de Polignac number, because 10223101313019 - 24 = 10223101313003 is a prime.

It is a super-2 number, since 2×102231013130192 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10223101312983 and 10223101313001.

It is not an unprimeable number, because it can be changed into a prime (10223101313099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2192855094 + ... + 2192859755.

It is an arithmetic number, because the mean of its divisors is an integer number (722181045300).

Almost surely, 210223101313019 is an apocalyptic number.

10223101313019 is a deficient number, since it is larger than the sum of its proper divisors (7109243774181).

10223101313019 is a wasteful number, since it uses less digits than its factorization.

10223101313019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385714899 (or 4385714896 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 10223101313019 in words is "ten trillion, two hundred twenty-three billion, one hundred one million, three hundred thirteen thousand, nineteen".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 4385714849 13157144547 30700003943 39471433641 92100011829 162271449413 276300035487 486814348239 1135900145891 1460443044717 3407700437673 10223101313019