Search a number
-
+
30032211000 = 2335311312947
BaseRepresentation
bin11011111110000011…
…110010110000111000
32212111222220101120010
4123332003302300320
5443001221223000
621444022301520
72112140403321
oct337603626070
985458811503
1030032211000
11118114446a0
1259a18878a0
132aa7c6256c
14164c831448
15bab88cd50
hex6fe0f2c38

30032211000 has 384 divisors, whose sum is σ = 105734004480. Its totient is φ = 7038240000.

The previous prime is 30032210981. The next prime is 30032211019. The reversal of 30032211000 is 11223003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30032210981) and next prime (30032211019).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31712527 + ... + 31713473.

It is an arithmetic number, because the mean of its divisors is an integer number (275348970).

Almost surely, 230032211000 is an apocalyptic number.

30032211000 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 30032211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52867002240).

30032211000 is an abundant number, since it is smaller than the sum of its proper divisors (75701793480).

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

30032211000 is a wasteful number, since it uses less digits than its factorization.

30032211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30032211000 its reverse (11223003), we get a palindrome (30043434003).

The spelling of 30032211000 in words is "thirty billion, thirty-two million, two hundred eleven thousand".