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2112157555200 = 2935527118819
BaseRepresentation
bin11110101111000110011…
…001101001101000000000
321110220211220001222200000
4132233012121221220000
5234101144313231300
64254151202400000
7305412142664640
oct36570631515000
97426756058600
102112157555200
11744840970070
122a1425360000
13124238a51354
147432c422520
1539e1e70ac00
hex1ebc6669a00

2112157555200 has 1440 divisors, whose sum is σ = 9774139415040. Its totient is φ = 438840115200.

The previous prime is 2112157555087. The next prime is 2112157555201. The reversal of 2112157555200 is 25557512112.

2112157555200 is a `hidden beast` number, since 2 + 1 + 12 + 1 + 575 + 55 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×21121575552002 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2112157555201) 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 143 ways as a sum of consecutive naturals, for example, 239496391 + ... + 239505209.

It is an arithmetic number, because the mean of its divisors is an integer number (6787596816).

Almost surely, 22112157555200 is an apocalyptic number.

2112157555200 is a gapful number since it is divisible by the number (20) 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 2112157555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887069707520).

2112157555200 is an abundant number, since it is smaller than the sum of its proper divisors (7661981859840).

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

2112157555200 is an equidigital number, since it uses as much as digits as its factorization.

2112157555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880 (or 8847 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 36.

The spelling of 2112157555200 in words is "two trillion, one hundred twelve billion, one hundred fifty-seven million, five hundred fifty-five thousand, two hundred".