Search a number
-
+
20132210304 = 2732193724859
BaseRepresentation
bin10010101111111110…
…010010011010000000
31220222001022020200200
4102233332102122000
5312212321212204
613125411045200
71311615651453
oct225776223200
956861266620
1020132210304
1185a1120638
123a9a2a0800
131b8abb849b
14d8da9d49a
157cc684539
hex4aff92680

20132210304 has 192 divisors, whose sum is σ = 62632284000. Its totient is φ = 6185465856.

The previous prime is 20132210299. The next prime is 20132210327. The reversal of 20132210304 is 40301223102.

20132210304 is a `hidden beast` number, since 20 + 132 + 210 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 797427 + ... + 822285.

Almost surely, 220132210304 is an apocalyptic number.

20132210304 is a gapful number since it is divisible by the number (24) 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 20132210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31316142000).

20132210304 is an abundant number, since it is smaller than the sum of its proper divisors (42500073696).

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

20132210304 is a wasteful number, since it uses less digits than its factorization.

20132210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24935 (or 24920 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20132210304 its reverse (40301223102), we get a palindrome (60433433406).

The spelling of 20132210304 in words is "twenty billion, one hundred thirty-two million, two hundred ten thousand, three hundred four".