Search a number
-
+
1130202031200 = 2535211412713853
BaseRepresentation
bin10000011100100101010…
…010100110010001100000
311000001020201111220210220
4100130211102212101200
5122004123204444300
62223112503523040
7144440313520434
oct20344522462140
94001221456726
101130202031200
113a6352645060
1216305a459480
1382767c89058
143c9b86a29c4
151e5ec1d5da0
hex107254a6460

1130202031200 has 576 divisors, whose sum is σ = 4127369831424. Its totient is φ = 266250240000.

The previous prime is 1130202031199. The next prime is 1130202031201. The reversal of 1130202031200 is 21302020311.

It is an interprime number because it is at equal distance from previous prime (1130202031199) and next prime (1130202031201).

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 1130202031200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130202031201) 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, 293328474 + ... + 293332326.

It is an arithmetic number, because the mean of its divisors is an integer number (7165572624).

Almost surely, 21130202031200 is an apocalyptic number.

1130202031200 is a gapful number since it is divisible by the number (10) 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 1130202031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063684915712).

1130202031200 is an abundant number, since it is smaller than the sum of its proper divisors (2997167800224).

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

1130202031200 is a wasteful number, since it uses less digits than its factorization.

1130202031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1130202031200 its reverse (21302020311), we get a palindrome (1151504051511).

The spelling of 1130202031200 in words is "one trillion, one hundred thirty billion, two hundred two million, thirty-one thousand, two hundred".