Search a number
-
+
3300031230000 = 24354130784163
BaseRepresentation
bin110000000001011001001…
…100000111000000110000
3102200110221211221221200220
4300001121030013000300
5413031430443330000
611004002522013040
7460263564430131
oct60013114070060
912613854857626
103300031230000
11106259866359a
12453699947180
131ac264c745ab
14b5a18247c88
155ac94a211a0
hex30059307030

3300031230000 has 200 divisors, whose sum is σ = 10661218168128. Its totient is φ = 879324576000.

The previous prime is 3300031229993. The next prime is 3300031230019. The reversal of 3300031230000 is 321300033.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×33000312300002 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39167919 + ... + 39252081.

Almost surely, 23300031230000 is an apocalyptic number.

3300031230000 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 3300031230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330609084064).

3300031230000 is an abundant number, since it is smaller than the sum of its proper divisors (7361186938128).

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

3300031230000 is a wasteful number, since it uses less digits than its factorization.

3300031230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85501 (or 85480 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 3300031230000 its reverse (321300033), we get a palindrome (3300352530033).

The spelling of 3300031230000 in words is "three trillion, three hundred billion, thirty-one million, two hundred thirty thousand".