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2003112201311 = 13237263113721
BaseRepresentation
bin11101001001100010110…
…010101000110001011111
321002111101100000001120022
4131021202302220301133
5230304333210420221
64132114514142355
7264501662531204
oct35114262506137
97074340001508
102003112201311
11702573686791
122842722819bb
13116b7b271c00
146cd45d41cab
153718b3364ab
hex1d262ca8c5f

2003112201311 has 36 divisors (see below), whose sum is σ = 2232953506224. Its totient is φ = 1796070931200.

The previous prime is 2003112201289. The next prime is 2003112201317. The reversal of 2003112201311 is 1131022113002.

It is not a de Polignac number, because 2003112201311 - 234 = 1985932332127 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2003112201311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003112201317) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145981931 + ... + 145995651.

It is an arithmetic number, because the mean of its divisors is an integer number (62026486284).

Almost surely, 22003112201311 is an apocalyptic number.

2003112201311 is a deficient number, since it is larger than the sum of its proper divisors (229841304913).

2003112201311 is a wasteful number, since it uses less digits than its factorization.

2003112201311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14452 (or 14402 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2003112201311 its reverse (1131022113002), we get a palindrome (3134134314313).

The spelling of 2003112201311 in words is "two trillion, three billion, one hundred twelve million, two hundred one thousand, three hundred eleven".

Divisors: 1 13 37 169 481 631 1369 6253 8203 13721 17797 23347 106639 178373 231361 303511 507677 863839 2318849 3945643 6599801 8657951 11229907 18784049 85797413 112553363 145988791 244192637 320344187 1463193719 3174504281 4164474431 11852734919 54138167603 154085553947 2003112201311