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2003131113111 = 32293115110191609
BaseRepresentation
bin11101001001100011111…
…010110001111010010111
321002111102122120212200100
4131021203322301322113
5230304403031104421
64132120431345143
7264502312345512
oct35114372617227
97074378525610
102003131113111
11702583323477
122842786821b3
13116b82163c1b
146cd48665d79
153718cd1ec26
hex1d263eb1e97

2003131113111 has 96 divisors (see below), whose sum is σ = 3115187712000. Its totient is φ = 1237529664000.

The previous prime is 2003131113103. The next prime is 2003131113119. The reversal of 2003131113111 is 1113111313002.

2003131113111 is a `hidden beast` number, since 200 + 31 + 311 + 13 + 111 = 666.

It is an interprime number because it is at equal distance from previous prime (2003131113103) and next prime (2003131113119).

It is not a de Polignac number, because 2003131113111 - 23 = 2003131113103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003131113119) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1244953275 + ... + 1244954883.

It is an arithmetic number, because the mean of its divisors is an integer number (32449872000).

Almost surely, 22003131113111 is an apocalyptic number.

2003131113111 is a deficient number, since it is larger than the sum of its proper divisors (1112056598889).

2003131113111 is a wasteful number, since it uses less digits than its factorization.

2003131113111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 2003131113111 its reverse (1113111313002), we get a palindrome (3116242426113).

The spelling of 2003131113111 in words is "two trillion, three billion, one hundred thirty-one million, one hundred thirteen thousand, one hundred eleven".

Divisors: 1 3 9 29 31 87 93 151 261 279 453 899 1019 1359 1609 2697 3057 4379 4681 4827 8091 9171 13137 14043 14481 29551 31589 39411 42129 46661 49879 88653 94767 135749 139983 149637 153869 242959 265959 284301 407247 419949 448911 461607 728877 916081 1221741 1384821 1446491 1639571 2186631 2748243 4339473 4462201 4769939 4918713 7045811 7531729 8244729 13018419 13386603 14309817 14756139 21137433 22595187 40159809 42929451 47547559 50826701 63412299 67785561 138328231 142642677 152480103 218420141 247575221 414984693 427928031 457440309 655260423 742725663 1244954079 1473974329 1965781269 2228176989 4421922987 7179681409 7674831851 13265768961 21539044227 23024495553 64617132681 69073486659 222570123679 667710371037 2003131113111