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3223421331311 = 417125141910529
BaseRepresentation
bin101110111010000010111…
…000100010011101101111
3102102011012202220212102202
4232322002320202131233
5410303031330100221
610504452550012115
7451612246144616
oct56720270423557
912364182825382
103223421331311
111033055341835
1244087934703b
131a4c762aabac
14b202b82087d
1558cadea1d0b
hex2ee82e2276f

3223421331311 has 32 divisors (see below), whose sum is σ = 3370233484800. Its totient is φ = 3080492800000.

The previous prime is 3223421331283. The next prime is 3223421331331. The reversal of 3223421331311 is 1131331243223.

It is a cyclic number.

It is not a de Polignac number, because 3223421331311 - 222 = 3223417137007 is a prime.

It is a super-3 number, since 3×32234213313113 (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223421331331) 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 31 ways as a sum of consecutive naturals, for example, 306141695 + ... + 306152223.

It is an arithmetic number, because the mean of its divisors is an integer number (105319796400).

Almost surely, 23223421331311 is an apocalyptic number.

3223421331311 is a deficient number, since it is larger than the sum of its proper divisors (146812153489).

3223421331311 is a wasteful number, since it uses less digits than its factorization.

3223421331311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11311.

The product of its digits is 7776, while the sum is 29.

Adding to 3223421331311 its reverse (1131331243223), we get a palindrome (4354752574534).

The spelling of 3223421331311 in words is "three trillion, two hundred twenty-three billion, four hundred twenty-one million, three hundred thirty-one thousand, three hundred eleven".

Divisors: 1 41 71 251 419 2911 10291 10529 17179 17821 29749 105169 431689 730661 747559 1219709 2642779 4311929 4411651 7466999 30649919 108353939 180877691 187637309 306146959 313227221 1107324401 7693129669 12842316061 45400300441 78620032471 3223421331311