Search a number
-
+
322141303412223 = 31092609377593561
BaseRepresentation
bin100100100111111000101110…
…1111101010001010111111111
31120020121102000022120000122220
41021033301131331101113333
5314210430342133142343
63101045401033540423
7124565640543301011
oct11117613575212777
91506542008500586
10322141303412223
119370a3a562a369
1230169186874713
1310a99a43873029
145979a17d001b1
15273997ba5a183
hex124fc5df515ff

322141303412223 has 16 divisors (see below), whose sum is σ = 433628446600800. Its totient is φ = 212709024967680.

The previous prime is 322141303412197. The next prime is 322141303412233. The reversal of 322141303412223 is 322214303141223.

It is a happy number.

It is not a de Polignac number, because 322141303412223 - 213 = 322141303404031 is a prime.

It is a super-3 number, since 3×3221413034122233 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322141303412233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187943638 + ... + 189649923.

It is an arithmetic number, because the mean of its divisors is an integer number (27101777912550).

Almost surely, 2322141303412223 is an apocalyptic number.

322141303412223 is a deficient number, since it is larger than the sum of its proper divisors (111487143188577).

322141303412223 is a wasteful number, since it uses less digits than its factorization.

322141303412223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377596282.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 322141303412223 its reverse (322214303141223), we get a palindrome (644355606553446).

The spelling of 322141303412223 in words is "three hundred twenty-two trillion, one hundred forty-one billion, three hundred three million, four hundred twelve thousand, two hundred twenty-three".

Divisors: 1 3 109 327 2609 7827 284381 853143 377593561 1132780683 41157698149 123473094447 985141600649 2955424801947 107380434470741 322141303412223