Search a number
-
+
1132001301200 = 2452711106934381
BaseRepresentation
bin10000011110010000100…
…010010001001011010000
311000012220010011022020112
4100132100202101023100
5122021314313114300
62224011220300452
7144533022204530
oct20362042211320
94005803138215
101132001301200
113a7096250260
12163480b41728
1382993981a63
143cb096294c0
151e6a5147e35
hex107908912d0

1132001301200 has 240 divisors, whose sum is σ = 3393981997440. Its totient is φ = 352491264000.

The previous prime is 1132001301199. The next prime is 1132001301239. The reversal of 1132001301200 is 21031002311.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32908010 + ... + 32942390.

It is an arithmetic number, because the mean of its divisors is an integer number (14141591656).

Almost surely, 21132001301200 is an apocalyptic number.

1132001301200 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 1132001301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696990998720).

1132001301200 is an abundant number, since it is smaller than the sum of its proper divisors (2261980696240).

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

1132001301200 is a wasteful number, since it uses less digits than its factorization.

1132001301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35486 (or 35475 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1132001301200 its reverse (21031002311), we get a palindrome (1153032303511).

The spelling of 1132001301200 in words is "one trillion, one hundred thirty-two billion, one million, three hundred one thousand, two hundred".