Search a number
-
+
30302312032000 = 28531958498521
BaseRepresentation
bin1101110001111010011101…
…00010110110011100000000
310222021212120020010011220001
412320331032202312130000
512432433113340011000
6144240405011125344
76245161353304621
oct670751642663400
9128255506104801
1030302312032000
1197231581871a8
12349495aba3854
1313ba65a266718
1476a8d55ada48
1537837543446a
hex1b8f4e8b6700

30302312032000 has 288 divisors, whose sum is σ = 79482750984000. Its totient is φ = 11479670784000.

The previous prime is 30302312031997. The next prime is 30302312032001. The reversal of 30302312032000 is 23021320303.

It is a happy number.

It is a super-2 number, since 2×303023120320002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30302312032001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3556187740 + ... + 3556196260.

It is an arithmetic number, because the mean of its divisors is an integer number (275981774250).

Almost surely, 230302312032000 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 30302312032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39741375492000).

30302312032000 is an abundant number, since it is smaller than the sum of its proper divisors (49180438952000).

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

30302312032000 is an equidigital number, since it uses as much as digits as its factorization.

30302312032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14420 (or 14396 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 30302312032000 its reverse (23021320303), we get a palindrome (30325333352303).

The spelling of 30302312032000 in words is "thirty trillion, three hundred two billion, three hundred twelve million, thirty-two thousand".