Search a number
-
+
2131110300 = 22352111941829
BaseRepresentation
bin111111100000110…
…0010100110011100
312111112001121202010
41333001202212130
513331031012200
6551245031220
7103545065364
oct17701424634
95445047663
102131110300
119a3a57790
124b5855510
1327c691317
141630679a4
15c7160150
hex7f06299c

2131110300 has 288 divisors, whose sum is σ = 7262035200. Its totient is φ = 476928000.

The previous prime is 2131110299. The next prime is 2131110313. The reversal of 2131110300 is 30111312.

2131110300 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21311103002 = 9083262221532180000, which contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2570286 + ... + 2571114.

It is an arithmetic number, because the mean of its divisors is an integer number (25215400).

Almost surely, 22131110300 is an apocalyptic number.

2131110300 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 2131110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631017600).

2131110300 is an abundant number, since it is smaller than the sum of its proper divisors (5130924900).

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

2131110300 is a wasteful number, since it uses less digits than its factorization.

2131110300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2131110300 is about 46163.9502209246. The cubic root of 2131110300 is about 1286.8718750914.

Adding to 2131110300 its reverse (30111312), we get a palindrome (2161221612).

The spelling of 2131110300 in words is "two billion, one hundred thirty-one million, one hundred ten thousand, three hundred".