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20031330000 = 2435411101601
BaseRepresentation
bin10010101001111101…
…011101011011010000
31220201000110222221010
4102221331131123100
5312011010030000
613111404530520
71306252332003
oct225175353320
956630428833
1020031330000
11854a188790
123a70550a40
131b730270b6
14d8051d53a
157c38a8d50
hex4a9f5d6d0

20031330000 has 400 divisors, whose sum is σ = 71359307712. Its totient is φ = 4800000000.

The previous prime is 20031329977. The next prime is 20031330023. The reversal of 20031330000 is 3313002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20031329977) and next prime (20031330023).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 79 ways as a sum of consecutive naturals, for example, 33329700 + ... + 33330300.

Almost surely, 220031330000 is an apocalyptic number.

20031330000 is a gapful number since it is divisible by the number (20) 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 20031330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35679653856).

20031330000 is an abundant number, since it is smaller than the sum of its proper divisors (51327977712).

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

20031330000 is a wasteful number, since it uses less digits than its factorization.

20031330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 20031330000 its reverse (3313002), we get a palindrome (20034643002).

The spelling of 20031330000 in words is "twenty billion, thirty-one million, three hundred thirty thousand".