Search a number
-
+
30331213000 = 23531117612659
BaseRepresentation
bin11100001111111000…
…011001010011001000
32220021211112021012021
4130033320121103020
5444104242304000
621533423054224
72122431025264
oct341770312310
986254467167
1030331213000
11119551a7290
125a65a41374
132b24ba101a
14167a4250a4
15bc7c5111a
hex70fe194c8

30331213000 has 256 divisors, whose sum is σ = 83357164800. Its totient is φ = 10206720000.

The previous prime is 30331212991. The next prime is 30331213009. The reversal of 30331213000 is 31213303.

It is an interprime number because it is at equal distance from previous prime (30331212991) and next prime (30331213009).

It is not an unprimeable number, because it can be changed into a prime (30331213009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11405671 + ... + 11408329.

It is an arithmetic number, because the mean of its divisors is an integer number (325613925).

Almost surely, 230331213000 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 30331213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41678582400).

30331213000 is an abundant number, since it is smaller than the sum of its proper divisors (53025951800).

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

30331213000 is a wasteful number, since it uses less digits than its factorization.

30331213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 30331213000 its reverse (31213303), we get a palindrome (30362426303).

The spelling of 30331213000 in words is "thirty billion, three hundred thirty-one million, two hundred thirteen thousand".