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113120321220000 = 2532543159343601
BaseRepresentation
bin11001101110000111100000…
…100100000010110110100000
3112211112012022200102100001200
4121232013200210002312200
5104311330404213020000
61040330431432401200
732553450004335543
oct3156074044026640
9484465280370050
10113120321220000
1133053071319366
121082b586846200
134b1727b706013
141dd10a4ab885a
15d127bc20d500
hex66e1e0902da0

113120321220000 has 720 divisors, whose sum is σ = 421979980181760. Its totient is φ = 28697472000000.

The previous prime is 113120321219989. The next prime is 113120321220007. The reversal of 113120321220000 is 22123021311.

113120321220000 is a `hidden beast` number, since 1 + 1 + 3 + 120 + 321 + 220 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (113120321220007) 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 119 ways as a sum of consecutive naturals, for example, 329048200 + ... + 329391800.

It is an arithmetic number, because the mean of its divisors is an integer number (586083305808).

Almost surely, 2113120321220000 is an apocalyptic number.

113120321220000 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 113120321220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210989990090880).

113120321220000 is an abundant number, since it is smaller than the sum of its proper divisors (308859658961760).

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

113120321220000 is a wasteful number, since it uses less digits than its factorization.

113120321220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343727 (or 343701 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113120321220000 its reverse (22123021311), we get a palindrome (113142444241311).

The spelling of 113120321220000 in words is "one hundred thirteen trillion, one hundred twenty billion, three hundred twenty-one million, two hundred twenty thousand".