Search a number
-
+
3133050030 = 2355111931199
BaseRepresentation
bin1011101010111110…
…1000110010101110
322002100101102200000
42322233220302232
522404030100110
61234520045130
7140432325435
oct27257506256
98070342600
103133050030
111368585950
127353037a6
133ac12a376
1421a15c11c
151350c61c0
hexbabe8cae

3133050030 has 384 divisors, whose sum is σ = 10063872000. Its totient is φ = 692841600.

The previous prime is 3133050017. The next prime is 3133050079. The reversal of 3133050030 is 300503313.

3133050030 is a `hidden beast` number, since 3 + 133 + 0 + 500 + 30 = 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 = 3133049985 and 3133050012.

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 191 ways as a sum of consecutive naturals, for example, 15743871 + ... + 15744069.

It is an arithmetic number, because the mean of its divisors is an integer number (26208000).

Almost surely, 23133050030 is an apocalyptic number.

3133050030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133050030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031936000).

3133050030 is an abundant number, since it is smaller than the sum of its proper divisors (6930821970).

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

3133050030 is a wasteful number, since it uses less digits than its factorization.

3133050030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

The square root of 3133050030 is about 55973.6547850862. The cubic root of 3133050030 is about 1463.2631756477.

Adding to 3133050030 its reverse (300503313), we get a palindrome (3433553343).

The spelling of 3133050030 in words is "three billion, one hundred thirty-three million, fifty thousand, thirty".