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201403203120 = 2432573110112763
BaseRepresentation
bin1011101110010010010…
…0001111111000110000
3201020212010122210022100
42323210210033320300
511244433204444440
6232305013340400
720356646660130
oct2734444177060
9636763583270
10201403203120
11784619484a9
1233049637700
1315cb8c4c892
149a685c8ac0
15538b74d230
hex2ee490fe30

201403203120 has 480 divisors, whose sum is σ = 805903847424. Its totient is φ = 44105472000.

The previous prime is 201403203059. The next prime is 201403203173. The reversal of 201403203120 is 21302304102.

201403203120 is a `hidden beast` number, since 20 + 14 + 0 + 320 + 312 + 0 = 666.

201403203120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 201403203093 and 201403203102.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15773859 + ... + 15786621.

Almost surely, 2201403203120 is an apocalyptic number.

201403203120 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 201403203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402951923712).

201403203120 is an abundant number, since it is smaller than the sum of its proper divisors (604500644304).

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

201403203120 is a wasteful number, since it uses less digits than its factorization.

201403203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12921 (or 12912 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201403203120 its reverse (21302304102), we get a palindrome (222705507222).

The spelling of 201403203120 in words is "two hundred one billion, four hundred three million, two hundred three thousand, one hundred twenty".