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1331012332200 = 2335223367262807
BaseRepresentation
bin10011010111100110100…
…001000110101010101000
311201020120112112011022110
4103113212201012222220
5133301403124112300
62455243021322320
7165106504103145
oct23274641065250
94636515464273
101331012332200
1147352a842401
12195b614063a0
139868b126975
14485c82313cc
1524951869550
hex135e6846aa8

1331012332200 has 192 divisors, whose sum is σ = 4317283676160. Its totient is φ = 338578225920.

The previous prime is 1331012332193. The next prime is 1331012332201. The reversal of 1331012332200 is 22332101331.

It is not an unprimeable number, because it can be changed into a prime (1331012332201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4933197 + ... + 5196003.

It is an arithmetic number, because the mean of its divisors is an integer number (22485852480).

Almost surely, 21331012332200 is an apocalyptic number.

1331012332200 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 1331012332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158641838080).

1331012332200 is an abundant number, since it is smaller than the sum of its proper divisors (2986271343960).

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

1331012332200 is a wasteful number, since it uses less digits than its factorization.

1331012332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263216 (or 263207 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1331012332200 its reverse (22332101331), we get a palindrome (1353344433531).

The spelling of 1331012332200 in words is "one trillion, three hundred thirty-one billion, twelve million, three hundred thirty-two thousand, two hundred".