Search a number
-
+
322313102052 = 223415312360527
BaseRepresentation
bin1001011000010110101…
…10111010001011100100
31010210221112222001111020
410230023112322023210
520240044123231202
6404022452211140
732200135110114
oct4541326721344
91123845861436
10322313102052
11114768386107
1252572009ab0
13245177b8186
1411858707044
1585b65385bc
hex4b0b5ba2e4

322313102052 has 48 divisors (see below), whose sum is σ = 784942970112. Its totient is φ = 102839576320.

The previous prime is 322313102051. The next prime is 322313102087. The reversal of 322313102052 is 250201313223.

It is a happy number.

It is a super-2 number, since 2×3223131020522 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (322313102051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6154188 + ... + 6206339.

It is an arithmetic number, because the mean of its divisors is an integer number (16352978544).

Almost surely, 2322313102052 is an apocalyptic number.

It is an amenable number.

322313102052 is an abundant number, since it is smaller than the sum of its proper divisors (462629868060).

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

322313102052 is a wasteful number, since it uses less digits than its factorization.

322313102052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12360628 (or 12360626 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 322313102052 its reverse (250201313223), we get a palindrome (572514415275).

The spelling of 322313102052 in words is "three hundred twenty-two billion, three hundred thirteen million, one hundred two thousand, fifty-two".

Divisors: 1 2 3 4 6 12 41 53 82 106 123 159 164 212 246 318 492 636 2173 4346 6519 8692 13038 26076 12360527 24721054 37081581 49442108 74163162 148326324 506781607 655107931 1013563214 1310215862 1520344821 1965323793 2027126428 2620431724 3040689642 3930647586 6081379284 7861295172 26859425171 53718850342 80578275513 107437700684 161156551026 322313102052