Search a number
-
+
322140020041223 = 10116272423809063
BaseRepresentation
bin100100100111111000001000…
…1011101100110011000000111
31120020121021200212200000121122
41021033300101131212120013
5314210420230112304343
63101045025430504155
7124565564000646416
oct11117602135463007
91506537625600548
10322140020041223
11937098a715a77a
1230168a88b0505b
1310a9989aa0acc7
1459799356ab47d
152739904052068
hex124fc11766607

322140020041223 has 16 divisors (see below), whose sum is σ = 325664234159616. Its totient is φ = 318622531466400.

The previous prime is 322140020041219. The next prime is 322140020041249.

322140020041223 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 322140020041223 - 22 = 322140020041219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 322140020041192 and 322140020041201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322140020041123) 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 15 ways as a sum of consecutive naturals, for example, 397759790 + ... + 398568852.

It is an arithmetic number, because the mean of its divisors is an integer number (20354014634976).

Almost surely, 2322140020041223 is an apocalyptic number.

322140020041223 is a deficient number, since it is larger than the sum of its proper divisors (3524214118393).

322140020041223 is a wasteful number, since it uses less digits than its factorization.

322140020041223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813214.

The product of its (nonzero) digits is 4608, while the sum is 26.

The spelling of 322140020041223 in words is "three hundred twenty-two trillion, one hundred forty billion, twenty million, forty-one thousand, two hundred twenty-three".

Divisors: 1 101 1627 2423 164327 244723 809063 3942221 81715363 398164321 1316345501 1960359649 132950895601 197996324549 3189505148923 322140020041223