Search a number
-
+
321323222121 = 311109495118043
BaseRepresentation
bin1001010110100000101…
…10110100010001101001
31010201101120022221111120
410223100112310101221
520231032221101441
6403340331445453
732133455215566
oct4532026642151
91121346287446
10321323222121
111142aa644720
12523365b6889
13243ba6b23c5
14117a307186d
1585596a5966
hex4ad05b4469

321323222121 has 32 divisors (see below), whose sum is σ = 471788528640. Its totient is φ = 192905064000.

The previous prime is 321323222071. The next prime is 321323222131. The reversal of 321323222121 is 121222323123.

It is not a de Polignac number, because 321323222121 - 219 = 321322697833 is a prime.

It is a super-2 number, since 2×3213232221212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321323222091 and 321323222100.

It is not an unprimeable number, because it can be changed into a prime (321323222131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17799726 + ... + 17817768.

It is an arithmetic number, because the mean of its divisors is an integer number (14743391520).

Almost surely, 2321323222121 is an apocalyptic number.

It is an amenable number.

321323222121 is a deficient number, since it is larger than the sum of its proper divisors (150465306519).

321323222121 is a wasteful number, since it uses less digits than its factorization.

321323222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23117.

The product of its digits is 1728, while the sum is 24.

Adding to 321323222121 its reverse (121222323123), we get a palindrome (442545545244).

The spelling of 321323222121 in words is "three hundred twenty-one billion, three hundred twenty-three million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 11 33 109 327 1199 3597 4951 14853 18043 54129 54461 163383 198473 539659 595419 1618977 1966687 5900061 5936249 17808747 21633557 64900671 89330893 267992679 982639823 2947919469 9737067337 29211202011 107107740707 321323222121