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11913103188 = 2235789103191
BaseRepresentation
bin10110001100001001…
…11000011101010100
31010202020121100100000
423012010320131110
5143344223300223
65250043051300
7601134464160
oct130604703524
933666540300
1011913103188
1150636aa828
122385810b30
13117b15b1ac
1481027bca0
1549ad08543
hex2c6138754

11913103188 has 288 divisors, whose sum is σ = 36632494080. Its totient is φ = 3315375360.

The previous prime is 11913103187. The next prime is 11913103199. The reversal of 11913103188 is 88130131911.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11913103187) 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, 62372173 + ... + 62372363.

It is an arithmetic number, because the mean of its divisors is an integer number (127196160).

Almost surely, 211913103188 is an apocalyptic number.

11913103188 is a gapful number since it is divisible by the number (18) 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 11913103188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18316247040).

11913103188 is an abundant number, since it is smaller than the sum of its proper divisors (24719390892).

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

11913103188 is a wasteful number, since it uses less digits than its factorization.

11913103188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 11913103188 in words is "eleven billion, nine hundred thirteen million, one hundred three thousand, one hundred eighty-eight".