Search a number
-
+
320123222155352 = 2371153107538717011
BaseRepresentation
bin100100011001001100111111…
…0111100001110000001011000
31112222110110222202122011012102
41020302121332330032001120
5313424344324332432402
63052502324504502532
7124300065604531220
oct11062317674160130
91488413882564172
10320123222155352
1193001550347690
122baa203747aa48
131098164b2cabc5
14590a091d11080
1527022164c3102
hex123267ef0e058

320123222155352 has 256 divisors, whose sum is σ = 769773521940480. Its totient is φ = 121196788876800.

The previous prime is 320123222155349. The next prime is 320123222155361. The reversal of 320123222155352 is 253551222321023.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 18818592527 + ... + 18818609537.

It is an arithmetic number, because the mean of its divisors is an integer number (3006927820080).

Almost surely, 2320123222155352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320123222155352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384886760970240).

320123222155352 is an abundant number, since it is smaller than the sum of its proper divisors (449650299785128).

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

320123222155352 is a wasteful number, since it uses less digits than its factorization.

320123222155352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22582 (or 22578 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

Adding to 320123222155352 its reverse (253551222321023), we get a palindrome (573674444476375).

The spelling of 320123222155352 in words is "three hundred twenty trillion, one hundred twenty-three billion, two hundred twenty-two million, one hundred fifty-five thousand, three hundred fifty-two".