Search a number
-
+
321230131200 = 21232521131687
BaseRepresentation
bin1001010110010101100…
…11101101000000000000
31010201011002011102202200
410223022303231000000
520230334403144300
6403323204313200
732131245030516
oct4531263550000
91121132142680
10321230131200
11114262042080
125230b3a2800
13243a431a614
141179495c4b6
158551418200
hex4acaced000

321230131200 has 468 divisors, whose sum is σ = 1255214789088. Its totient is φ = 77871513600.

The previous prime is 321230131199. The next prime is 321230131223. The reversal of 321230131200 is 2131032123.

321230131200 is a `hidden beast` number, since 321 + 2 + 30 + 1 + 312 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10121757 + ... + 10153443.

Almost surely, 2321230131200 is an apocalyptic number.

321230131200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321230131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627607394544).

321230131200 is an abundant number, since it is smaller than the sum of its proper divisors (933984657888).

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

321230131200 is a wasteful number, since it uses less digits than its factorization.

321230131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31738 (or 31708 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 321230131200 its reverse (2131032123), we get a palindrome (323361163323).

The spelling of 321230131200 in words is "three hundred twenty-one billion, two hundred thirty million, one hundred thirty-one thousand, two hundred".