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30311330040 = 233251931163877
BaseRepresentation
bin11100001110101100…
…100011000011111000
32220020110010002220100
4130032230203003320
5444034200030130
621531432555400
72122100024415
oct341654430370
986213102810
1030311330040
1111944a56992
125a5b252b60
132b20a2bc64
14167792b10c
15bc6124c60
hex70eb230f8

30311330040 has 384 divisors, whose sum is σ = 107821209600. Its totient is φ = 7356718080.

The previous prime is 30311330039. The next prime is 30311330209. The reversal of 30311330040 is 4003311303.

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 = 30311329995 and 30311330022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34562082 + ... + 34562958.

It is an arithmetic number, because the mean of its divisors is an integer number (280784400).

Almost surely, 230311330040 is an apocalyptic number.

30311330040 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 30311330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53910604800).

30311330040 is an abundant number, since it is smaller than the sum of its proper divisors (77509879560).

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

30311330040 is a wasteful number, since it uses less digits than its factorization.

30311330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1100 counting only the distinct ones).

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

Adding to 30311330040 its reverse (4003311303), we get a palindrome (34314641343).

The spelling of 30311330040 in words is "thirty billion, three hundred eleven million, three hundred thirty thousand, forty".