Search a number
-
+
321123011220 = 223451153340007
BaseRepresentation
bin1001010110001000110…
…11000100101010010100
31010200212121121011210000
410223010123010222110
520230124442324340
6403304420331300
732125504362414
oct4530433045224
91120777534700
10321123011220
11114207628270
125229b543b30
132438808310b
1411784636644
158546d08d30
hex4ac46c4a94

321123011220 has 240 divisors, whose sum is σ = 1119692585088. Its totient is φ = 76378947840.

The previous prime is 321123011201. The next prime is 321123011233. The reversal of 321123011220 is 22110321123.

321123011220 is a `hidden beast` number, since 3 + 211 + 230 + 1 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 321123011193 and 321123011202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 774457 + ... + 1114463.

Almost surely, 2321123011220 is an apocalyptic number.

321123011220 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 321123011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559846292544).

321123011220 is an abundant number, since it is smaller than the sum of its proper divisors (798569573868).

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

321123011220 is a wasteful number, since it uses less digits than its factorization.

321123011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340092 (or 340081 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 321123011220 its reverse (22110321123), we get a palindrome (343233332343).

The spelling of 321123011220 in words is "three hundred twenty-one billion, one hundred twenty-three million, eleven thousand, two hundred twenty".