Search a number
-
+
20103210000 = 243254376037
BaseRepresentation
bin10010101110001111…
…101010010000010000
31220220000201212202100
4102232033222100100
5312132410210000
613122453320400
71311114315456
oct225617522020
956800655670
1020103210000
118586813245
123a90636100
131b84ba3543
14d89cb09d6
157c9d56a00
hex4ae3ea410

20103210000 has 300 divisors, whose sum is σ = 72215892892. Its totient is φ = 5215104000.

The previous prime is 20103209981. The next prime is 20103210011. The reversal of 20103210000 is 1230102.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 14322344976 + 5780865024 = 119676^2 + 76032^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3326982 + ... + 3333018.

Almost surely, 220103210000 is an apocalyptic number.

20103210000 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 20103210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36107946446).

20103210000 is an abundant number, since it is smaller than the sum of its proper divisors (52112682892).

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

20103210000 is a wasteful number, since it uses less digits than its factorization.

20103210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6084 counting only the distinct ones).

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

Adding to 20103210000 its reverse (1230102), we get a palindrome (20104440102).

The spelling of 20103210000 in words is "twenty billion, one hundred three million, two hundred ten thousand".