Search a number
-
+
30033121200 = 24352891791571
BaseRepresentation
bin11011111110000111…
…010000111110110000
32212112001121122010020
4123332013100332300
5443001434334300
621444054003440
72112151214055
oct337607207660
985461548106
1030033121200
1111811a06525
1259a2046580
132aa81c0944
14164c9cb02c
15bab9bc8a0
hex6fe1d0fb0

30033121200 has 240 divisors, whose sum is σ = 97892841600. Its totient is φ = 7869593600.

The previous prime is 30033121127. The next prime is 30033121243. The reversal of 30033121200 is 212133003.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30033121200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19116415 + ... + 19117985.

It is an arithmetic number, because the mean of its divisors is an integer number (407886840).

Almost surely, 230033121200 is an apocalyptic number.

30033121200 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 30033121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48946420800).

30033121200 is an abundant number, since it is smaller than the sum of its proper divisors (67859720400).

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

30033121200 is a wasteful number, since it uses less digits than its factorization.

30033121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30033121200 its reverse (212133003), we get a palindrome (30245254203).

The spelling of 30033121200 in words is "thirty billion, thirty-three million, one hundred twenty-one thousand, two hundred".