Search a number
-
+
3223021310001 = 323172569343969
BaseRepresentation
bin101110111001101011000…
…010100101000000110001
3102102010011220012200100200
4232321223002211000301
5410301221423410001
610504345140105413
7451566321054003
oct56715302450061
912363156180320
103223021310001
11103296a561909
12440787395269
131a4c1145c9ac
14b1dd0652373
1558c88cd7086
hex2ee6b0a5031

3223021310001 has 24 divisors (see below), whose sum is σ = 4670449254120. Its totient is φ = 2141770622976.

The previous prime is 3223021309997. The next prime is 3223021310063. The reversal of 3223021310001 is 1000131203223.

3223021310001 is a `hidden beast` number, since 322 + 30 + 2 + 1 + 310 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 561114853776 + 2661906456225 = 749076^2 + 1631535^2 .

It is not a de Polignac number, because 3223021310001 - 22 = 3223021309997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3223021310401) 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 23 ways as a sum of consecutive naturals, for example, 73280145 + ... + 73324113.

It is an arithmetic number, because the mean of its divisors is an integer number (194602052255).

Almost surely, 23223021310001 is an apocalyptic number.

It is an amenable number.

3223021310001 is a deficient number, since it is larger than the sum of its proper divisors (1447427944119).

3223021310001 is a wasteful number, since it uses less digits than its factorization.

3223021310001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69985 (or 69982 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3223021310001 its reverse (1000131203223), we get a palindrome (4223152513224).

The spelling of 3223021310001 in words is "three trillion, two hundred twenty-three billion, twenty-one million, three hundred ten thousand, one".

Divisors: 1 3 9 317 951 2853 25693 43969 77079 131907 231237 395721 8144681 13938173 24434043 41814519 73302129 125443557 1129695517 3389086551 10167259653 358113478889 1074340436667 3223021310001