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321223322106 = 2341982860013
BaseRepresentation
bin1001010110010100110…
…01101110100111111010
31010201010121100111110000
410223022121232213322
520230331132301411
6403322402333430
732131133121111
oct4531231564772
91121117314400
10321223322106
11114259211325
125230905a276
13243a2aa527b
1411793aa8c78
158550a20956
hex4aca66e9fa

321223322106 has 20 divisors (see below), whose sum is σ = 719778185082. Its totient is φ = 107074440648.

The previous prime is 321223322051. The next prime is 321223322107. The reversal of 321223322106 is 601223322123.

321223322106 is a `hidden beast` number, since 3 + 212 + 23 + 322 + 106 = 666.

It can be written as a sum of positive squares in only one way, i.e., 191720503881 + 129502818225 = 437859^2 + 359865^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 321223322106.

It is not an unprimeable number, because it can be changed into a prime (321223322107) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 991429845 + ... + 991430168.

Almost surely, 2321223322106 is an apocalyptic number.

321223322106 is an abundant number, since it is smaller than the sum of its proper divisors (398554862976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321223322106 is a wasteful number, since it uses less digits than its factorization.

321223322106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982860027 (or 1982860018 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 321223322106 its reverse (601223322123), we get a palindrome (922446644229).

The spelling of 321223322106 in words is "three hundred twenty-one billion, two hundred twenty-three million, three hundred twenty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 1982860013 3965720026 5948580039 11897160078 17845740117 35691480234 53537220351 107074440702 160611661053 321223322106