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2003111131320 = 23335131141112503
BaseRepresentation
bin11101001001100010101…
…110100011100010111000
321002111101020222200211000
4131021202232203202320
5230304332422200240
64132114435205000
7264501650453535
oct35114256434270
97074336880730
102003111131320
117025730158a2
12284271a46760
13116b7ac88b90
146cd45b43d8c
153718b1c4430
hex1d262ba38b8

2003111131320 has 256 divisors, whose sum is σ = 7191860659200. Its totient is φ = 492990865920.

The previous prime is 2003111131289. The next prime is 2003111131349. The reversal of 2003111131320 is 231311113002.

2003111131320 is a `hidden beast` number, since 2 + 0 + 0 + 311 + 1 + 1 + 31 + 320 = 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 = 2003111131293 and 2003111131302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160204189 + ... + 160216691.

It is an arithmetic number, because the mean of its divisors is an integer number (28093205700).

Almost surely, 22003111131320 is an apocalyptic number.

2003111131320 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 2003111131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595930329600).

2003111131320 is an abundant number, since it is smaller than the sum of its proper divisors (5188749527880).

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

2003111131320 is a wasteful number, since it uses less digits than its factorization.

2003111131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23947 (or 23937 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2003111131320 its reverse (231311113002), we get a palindrome (2234422244322).

The spelling of 2003111131320 in words is "two trillion, three billion, one hundred eleven million, one hundred thirty-one thousand, three hundred twenty".