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11332311231120 = 24351125360112251
BaseRepresentation
bin1010010011101000001001…
…1000101010101010010000
31111010100200020212022111020
42210322002120222222100
52441132033133343440
640033554130315440
72246506144063665
oct244720230525220
944110606768436
1011332311231120
11367a008291400
121330340128b80
1364282b3c2c19
142b26b5a75a6c
15149ba58313d0
hexa4e8262aa90

11332311231120 has 480 divisors, whose sum is σ = 39411395759232. Its totient is φ = 2690688000000.

The previous prime is 11332311231097. The next prime is 11332311231139. The reversal of 11332311231120 is 2113211323311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 925004995 + ... + 925017245.

Almost surely, 211332311231120 is an apocalyptic number.

11332311231120 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 11332311231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19705697879616).

11332311231120 is an abundant number, since it is smaller than the sum of its proper divisors (28079084528112).

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

11332311231120 is a wasteful number, since it uses less digits than its factorization.

11332311231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12943 (or 12926 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11332311231120 its reverse (2113211323311), we get a palindrome (13445522554431).

The spelling of 11332311231120 in words is "eleven trillion, three hundred thirty-two billion, three hundred eleven million, two hundred thirty-one thousand, one hundred twenty".