Search a number
-
+
20031102000 = 24325372131747
BaseRepresentation
bin10010101001111100…
…100101110000110000
31220201000001102011200
4102221330211300300
5312010430231000
613111400011200
71306250362200
oct225174456060
956630042150
1020031102000
11854a042458
123a70460b00
131b72c773a0
14d804a0400
157c3861500
hex4a9f25c30

20031102000 has 720 divisors, whose sum is σ = 87694824672. Its totient is φ = 4223923200.

The previous prime is 20031101953. The next prime is 20031102001. The reversal of 20031102000 is 20113002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (20031102001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11465127 + ... + 11466873.

Almost surely, 220031102000 is an apocalyptic number.

20031102000 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 20031102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43847412336).

20031102000 is an abundant number, since it is smaller than the sum of its proper divisors (67663722672).

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

20031102000 is a wasteful number, since it uses less digits than its factorization.

20031102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20031102000 its reverse (20113002), we get a palindrome (20051215002).

The spelling of 20031102000 in words is "twenty billion, thirty-one million, one hundred two thousand".