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2031200313120 = 25325111737239853
BaseRepresentation
bin11101100011101100111…
…110010001111100100000
321012011212211201222101200
4131203230332101330200
5231234344240004440
64153042012001200
7266515015535046
oct35435476217440
97164784658350
102031200313120
11713477694930
122897b0a60200
13119706500304
147044c4aa396
1537c821a4c30
hex1d8ecf91f20

2031200313120 has 1152 divisors, whose sum is σ = 8266879595520. Its totient is φ = 448508067840.

The previous prime is 2031200313113. The next prime is 2031200313143. The reversal of 2031200313120 is 213130021302.

2031200313120 is a `hidden beast` number, since 2 + 0 + 31 + 200 + 313 + 120 = 666.

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 = 2031200313093 and 2031200313102.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2381242614 + ... + 2381243466.

It is an arithmetic number, because the mean of its divisors is an integer number (7176110760).

Almost surely, 22031200313120 is an apocalyptic number.

2031200313120 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 2031200313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133439797760).

2031200313120 is an abundant number, since it is smaller than the sum of its proper divisors (6235679282400).

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

2031200313120 is a wasteful number, since it uses less digits than its factorization.

2031200313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2031200313120 its reverse (213130021302), we get a palindrome (2244330334422).

The spelling of 2031200313120 in words is "two trillion, thirty-one billion, two hundred million, three hundred thirteen thousand, one hundred twenty".