Search a number
-
+
20010321000 = 23365327449
BaseRepresentation
bin10010101000101101…
…010100010001101000
31220122112221122000000
4102220231110101220
5311440120233000
613105334343000
71305605631165
oct225055242150
956575848000
1020010321000
11853933937a
123a654baa60
131b6b87c637
14d7b81106c
157c1b09000
hex4a8b54468

20010321000 has 224 divisors, whose sum is σ = 70206669000. Its totient is φ = 5335891200.

The previous prime is 20010320999. The next prime is 20010321013. The reversal of 20010321000 is 12301002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8357982084 + 11652338916 = 91422^2 + 107946^2 .

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 55 ways as a sum of consecutive naturals, for example, 715276 + ... + 742724.

Almost surely, 220010321000 is an apocalyptic number.

20010321000 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 20010321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35103334500).

20010321000 is an abundant number, since it is smaller than the sum of its proper divisors (50196348000).

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

20010321000 is an equidigital number, since it uses as much as digits as its factorization.

20010321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27488 (or 27459 counting only the distinct ones).

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

Adding to 20010321000 its reverse (12301002), we get a palindrome (20022622002).

The spelling of 20010321000 in words is "twenty billion, ten million, three hundred twenty-one thousand".