Search a number
-
+
33130385400 = 23352717464011
BaseRepresentation
bin11110110110101110…
…011000111111111000
310011111220122221212010
4132312232120333320
51020322334313100
623115255045520
72252000425620
oct366656307770
9104456587763
1033130385400
1113061269a02
1265073708a0
13317ca9b658
1418640b1880
15cdd875750
hex7b6b98ff8

33130385400 has 192 divisors, whose sum is σ = 124280974080. Its totient is φ = 7127193600.

The previous prime is 33130385371. The next prime is 33130385401. The reversal of 33130385400 is 458303133.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33130385401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160606 + ... + 303405.

It is an arithmetic number, because the mean of its divisors is an integer number (647296740).

Almost surely, 233130385400 is an apocalyptic number.

33130385400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33130385400 is an abundant number, since it is smaller than the sum of its proper divisors (91150588680).

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

33130385400 is a wasteful number, since it uses less digits than its factorization.

33130385400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464054 (or 464045 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 33130385400 its reverse (458303133), we get a palindrome (33588688533).

The spelling of 33130385400 in words is "thirty-three billion, one hundred thirty million, three hundred eighty-five thousand, four hundred".