Search a number
-
+
21871100160 = 2832571331673
BaseRepresentation
bin10100010111100111…
…101000000100000000
32002110020100000010200
4110113213220010000
5324243000201120
614014125325200
71402662166260
oct242747500400
962406300120
1021871100160
119303736298
1242a4706800
1320a72301b0
1410b69c97a0
1588016ae90
hex5179e8100

21871100160 has 864 divisors, whose sum is σ = 96281622528. Its totient is φ = 4459069440.

The previous prime is 21871100113. The next prime is 21871100171. The reversal of 21871100160 is 6100117812.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32497584 + ... + 32498256.

Almost surely, 221871100160 is an apocalyptic number.

21871100160 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 21871100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48140811264).

21871100160 is an abundant number, since it is smaller than the sum of its proper divisors (74410522368).

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

21871100160 is a wasteful number, since it uses less digits than its factorization.

21871100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 21871100160 its reverse (6100117812), we get a palindrome (27971217972).

The spelling of 21871100160 in words is "twenty-one billion, eight hundred seventy-one million, one hundred thousand, one hundred sixty".