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2201113203120 = 2432513229623771
BaseRepresentation
bin100000000001111100100…
…100100001000110110000
321210102110100211010001200
4200001330210201012300
5242030334434444440
64403102154531200
7315011431345146
oct40017444410660
97712410733050
102201113203120
1177953a024a67
122b6710436b00
1312c7443a7a00
147876a749596
153c3c9044c30
hex2007c9211b0

2201113203120 has 360 divisors, whose sum is σ = 8280461021040. Its totient is φ = 523128453120.

The previous prime is 2201113203101. The next prime is 2201113203139. The reversal of 2201113203120 is 213023111022.

2201113203120 is a `hidden beast` number, since 2 + 20 + 1 + 11 + 320 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2201113203101) and next prime (2201113203139).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 2201113203093 and 2201113203102.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3216835 + ... + 3840605.

It is an arithmetic number, because the mean of its divisors is an integer number (23001280614).

Almost surely, 22201113203120 is an apocalyptic number.

2201113203120 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 2201113203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140230510520).

2201113203120 is an abundant number, since it is smaller than the sum of its proper divisors (6079347817920).

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

2201113203120 is a wasteful number, since it uses less digits than its factorization.

2201113203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623845 (or 623823 counting only the distinct ones).

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

Adding to 2201113203120 its reverse (213023111022), we get a palindrome (2414136314142).

The spelling of 2201113203120 in words is "two trillion, two hundred one billion, one hundred thirteen million, two hundred three thousand, one hundred twenty".