Search a number
-
+
20412031104 = 27351738603
BaseRepresentation
bin10011000000101001…
…101110000010000000
31221200112211121200000
4103000221232002000
5313300434443404
613213244400000
71321554254523
oct230051560200
957615747600
1020412031104
1187250720a3
123b57b46000
131c03b6c41a
14db8cdcbba
157e7009339
hex4c0a6e080

20412031104 has 192 divisors, whose sum is σ = 64498019040. Its totient is φ = 6403608576.

The previous prime is 20412031043. The next prime is 20412031177. The reversal of 20412031104 is 40113021402.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509467 + ... + 548069.

Almost surely, 220412031104 is an apocalyptic number.

20412031104 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 20412031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32249009520).

20412031104 is an abundant number, since it is smaller than the sum of its proper divisors (44085987936).

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

20412031104 is an equidigital number, since it uses as much as digits as its factorization.

20412031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38649 (or 38625 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20412031104 its reverse (40113021402), we get a palindrome (60525052506).

The spelling of 20412031104 in words is "twenty billion, four hundred twelve million, thirty-one thousand, one hundred four".