Search a number
-
+
21130032300 = 223521343163773
BaseRepresentation
bin10011101011011100…
…101011010010101100
32000112120212212010220
4103223130223102230
5321233242013200
613412413531340
71345423211466
oct235334532254
960476785126
1021130032300
118a63397013
1241184a3b50
131cb98421c0
141046401136
1583a0854a0
hex4eb72b4ac

21130032300 has 288 divisors, whose sum is σ = 67871155968. Its totient is φ = 5042580480.

The previous prime is 21130032293. The next prime is 21130032317. The reversal of 21130032300 is 323003112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21130032300.

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 95 ways as a sum of consecutive naturals, for example, 27334714 + ... + 27335486.

It is an arithmetic number, because the mean of its divisors is an integer number (235663736).

Almost surely, 221130032300 is an apocalyptic number.

21130032300 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 21130032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33935577984).

21130032300 is an abundant number, since it is smaller than the sum of its proper divisors (46741123668).

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

21130032300 is a wasteful number, since it uses less digits than its factorization.

21130032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 21130032300 its reverse (323003112), we get a palindrome (21453035412).

The spelling of 21130032300 in words is "twenty-one billion, one hundred thirty million, thirty-two thousand, three hundred".