Search a number
-
+
2135512500 = 223551131167
BaseRepresentation
bin111111101001001…
…0101010110110100
312111211100021102120
41333102111112310
513333142400000
6551523235540
7103630361652
oct17722252664
95454307376
102135512500
119a6494170
124b7218bb0
13280572c84
14163891dd2
15c772e6a0
hex7f4955b4

2135512500 has 288 divisors, whose sum is σ = 7055548416. Its totient is φ = 498000000.

The previous prime is 2135512481. The next prime is 2135512501. The reversal of 2135512500 is 52155312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135512501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12787417 + ... + 12787583.

It is an arithmetic number, because the mean of its divisors is an integer number (24498432).

Almost surely, 22135512500 is an apocalyptic number.

2135512500 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 2135512500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527774208).

2135512500 is an abundant number, since it is smaller than the sum of its proper divisors (4920035916).

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

2135512500 is a wasteful number, since it uses less digits than its factorization.

2135512500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 2135512500 is about 46211.6056851523. The cubic root of 2135512500 is about 1287.7573557871.

Adding to 2135512500 its reverse (52155312), we get a palindrome (2187667812).

The spelling of 2135512500 in words is "two billion, one hundred thirty-five million, five hundred twelve thousand, five hundred".