Search a number
-
+
20121376860 = 2236513532003
BaseRepresentation
bin10010101111010100…
…111101100001011100
31220221021220212000000
4102233110331201130
5312202033024420
613124342534300
71311424611204
oct225724754134
956837825000
1020121376860
118595aa1282
123a96737390
131b88894470
14d8c47d404
157cb744690
hex4af53d85c

20121376860 has 336 divisors, whose sum is σ = 69548691744. Its totient is φ = 4857076224.

The previous prime is 20121376859. The next prime is 20121376883. The reversal of 20121376860 is 6867312102.

20121376860 is a `hidden beast` number, since 201 + 2 + 1 + 376 + 86 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10044619 + ... + 10046621.

It is an arithmetic number, because the mean of its divisors is an integer number (206990154).

Almost surely, 220121376860 is an apocalyptic number.

20121376860 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 20121376860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34774345872).

20121376860 is an abundant number, since it is smaller than the sum of its proper divisors (49427314884).

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

20121376860 is a wasteful number, since it uses less digits than its factorization.

20121376860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 20121376860 its reverse (6867312102), we get a palindrome (26988688962).

The spelling of 20121376860 in words is "twenty billion, one hundred twenty-one million, three hundred seventy-six thousand, eight hundred sixty".