Search a number
-
+
1131331100200 = 235273123113397
BaseRepresentation
bin10000011101101000100…
…101101001111000101000
311000011011102001120022021
4100131220211221320220
5122013431230201300
62223420515434224
7144510303454000
oct20355045517050
94004142046267
101131331100200
113a6881a04334
121633145b5974
13828b7b77012
143ca8460b000
151e6663aed1a
hex10768969e28

1131331100200 has 192 divisors, whose sum is σ = 3070178496000. Its totient is φ = 387540921600.

The previous prime is 1131331100171. The next prime is 1131331100201. The reversal of 1131331100200 is 20011331311.

It is not an unprimeable number, because it can be changed into a prime (1131331100201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84439902 + ... + 84453298.

It is an arithmetic number, because the mean of its divisors is an integer number (15990513000).

Almost surely, 21131331100200 is an apocalyptic number.

1131331100200 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 1131331100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535089248000).

1131331100200 is an abundant number, since it is smaller than the sum of its proper divisors (1938847395800).

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

1131331100200 is a wasteful number, since it uses less digits than its factorization.

1131331100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14665 (or 14642 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1131331100200 its reverse (20011331311), we get a palindrome (1151342431511).

The spelling of 1131331100200 in words is "one trillion, one hundred thirty-one billion, three hundred thirty-one million, one hundred thousand, two hundred".