Search a number
-
+
3033100032120 = 23325232931407471
BaseRepresentation
bin101100001000110010110…
…110011001100001111000
3101201221221221211010102200
4230020302312121201320
5344143242102011440
610241215324030200
7432064021613334
oct54106266314170
911657857733380
103033100032120
11a6a36a993824
1240ba03092360
13190035231822
14a6b34d467c4
1553d705c0c30
hex2c232d99878

3033100032120 has 384 divisors, whose sum is σ = 10984141209600. Its totient is φ = 722884377600.

The previous prime is 3033100032101. The next prime is 3033100032187. The reversal of 3033100032120 is 212300013303.

3033100032120 is a `hidden beast` number, since 30 + 3 + 310 + 0 + 0 + 321 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3033100032093 and 3033100032102.

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, 7239985 + ... + 7647455.

It is an arithmetic number, because the mean of its divisors is an integer number (28604534400).

Almost surely, 23033100032120 is an apocalyptic number.

3033100032120 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 3033100032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5492070604800).

3033100032120 is an abundant number, since it is smaller than the sum of its proper divisors (7951041177480).

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

3033100032120 is a wasteful number, since it uses less digits than its factorization.

3033100032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407571 (or 407564 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3033100032120 its reverse (212300013303), we get a palindrome (3245400045423).

The spelling of 3033100032120 in words is "three trillion, thirty-three billion, one hundred million, thirty-two thousand, one hundred twenty".