Search a number
-
+
20123004000 = 2535311157971
BaseRepresentation
bin10010101111011011…
…001010110001100000
31220221101222112000110
4102233123022301200
5312202442112000
613124441451320
71311444466101
oct225733126140
956841875013
1020123004000
118596a02820
123a971a0b40
131b89013c78
14d8c7843a8
157cb966850
hex4af6cac60

20123004000 has 384 divisors, whose sum is σ = 72448556544. Its totient is φ = 4842240000.

The previous prime is 20123003983. The next prime is 20123004019. The reversal of 20123004000 is 40032102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 20723515 + ... + 20724485.

It is an arithmetic number, because the mean of its divisors is an integer number (188668116).

Almost surely, 220123004000 is an apocalyptic number.

20123004000 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 20123004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36224278272).

20123004000 is an abundant number, since it is smaller than the sum of its proper divisors (52325552544).

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

20123004000 is a wasteful number, since it uses less digits than its factorization.

20123004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20123004000 its reverse (40032102), we get a palindrome (20163036102).

The spelling of 20123004000 in words is "twenty billion, one hundred twenty-three million, four thousand".