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1131332002200 = 2332523719188937
BaseRepresentation
bin10000011101101000101…
…001000110000110011000
311000011011110202101121200
4100131220221012012120
5122013431443032300
62223420551034200
7144510314231511
oct20355051060630
94004143671550
101131332002200
113a688246aa94
1216331496b960
13828b810174a
143ca847a3a08
151e6664dc200
hex10768a46198

1131332002200 has 288 divisors, whose sum is σ = 3922550012160. Its totient is φ = 291994675200.

The previous prime is 1131332002189. The next prime is 1131332002201. The reversal of 1131332002200 is 22002331311.

1131332002200 is a `hidden beast` number, since 1 + 131 + 332 + 0 + 0 + 2 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131332002201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12676132 + ... + 12765068.

It is an arithmetic number, because the mean of its divisors is an integer number (13619965320).

Almost surely, 21131332002200 is an apocalyptic number.

1131332002200 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 1131332002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961275006080).

1131332002200 is an abundant number, since it is smaller than the sum of its proper divisors (2791218009960).

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

1131332002200 is a wasteful number, since it uses less digits than its factorization.

1131332002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89187 (or 89175 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1131332002200 its reverse (22002331311), we get a palindrome (1153334333511).

The spelling of 1131332002200 in words is "one trillion, one hundred thirty-one billion, three hundred thirty-two million, two thousand, two hundred".