Search a number
-
+
12302321031000 = 2332537111321737167
BaseRepresentation
bin1011001100000101101101…
…1110011001011101011000
31121120002102220102201111200
42303001123132121131120
53103030123140443000
642055335214554200
72406545661251160
oct263013336313530
947502386381450
1012302321031000
113a13426557040
121468332508960
136b3147348100
143076150a55a0
15165029257500
hexb305b799758

12302321031000 has 4608 divisors, whose sum is σ = 61411105566720. Its totient is φ = 2147917824000.

The previous prime is 12302321030911. The next prime is 12302321031103. The reversal of 12302321031000 is 13012320321.

12302321031000 is a `hidden beast` number, since 1 + 2 + 30 + 2 + 321 + 0 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×123023210310002 (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 73666592917 + ... + 73666593083.

It is an arithmetic number, because the mean of its divisors is an integer number (13327062840).

Almost surely, 212302321031000 is an apocalyptic number.

12302321031000 is a gapful number since it is divisible by the number (10) 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 12302321031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30705552783360).

12302321031000 is an abundant number, since it is smaller than the sum of its proper divisors (49108784535720).

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

12302321031000 is a wasteful number, since it uses less digits than its factorization.

12302321031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 262 counting only the distinct ones).

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

Adding to 12302321031000 its reverse (13012320321), we get a palindrome (12315333351321).

The spelling of 12302321031000 in words is "twelve trillion, three hundred two billion, three hundred twenty-one million, thirty-one thousand".