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2013031404 = 223217291011123
BaseRepresentation
bin111011111111100…
…0110101111101100
312012021212120221200
41313333012233230
513110314001104
6531430125500
7100612325136
oct16777065754
95167776850
102013031404
1194333831a
124821b0890
1326108a957
141514cc056
15bbad8b39
hex77fc6bec

2013031404 has 144 divisors (see below), whose sum is σ = 5633802720. Its totient is φ = 603187200.

The previous prime is 2013031403. The next prime is 2013031411. The reversal of 2013031404 is 4041303102.

2013031404 is a `hidden beast` number, since 201 + 30 + 31 + 404 = 666.

It is a super-2 number, since 2×20130314042 = 8104590866980422432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2013031403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1791987 + ... + 1793109.

It is an arithmetic number, because the mean of its divisors is an integer number (39123630).

Almost surely, 22013031404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013031404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816901360).

2013031404 is an abundant number, since it is smaller than the sum of its proper divisors (3620771316).

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

2013031404 is a wasteful number, since it uses less digits than its factorization.

2013031404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1275 counting only the distinct ones).

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

The square root of 2013031404 is about 44866.8185188119. The cubic root of 2013031404 is about 1262.6515514439.

Adding to 2013031404 its reverse (4041303102), we get a palindrome (6054334506).

The spelling of 2013031404 in words is "two billion, thirteen million, thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 101 102 116 153 174 202 204 261 303 306 348 404 493 522 606 612 909 986 1044 1123 1212 1479 1717 1818 1972 2246 2929 2958 3369 3434 3636 4437 4492 5151 5858 5916 6738 6868 8787 8874 10107 10302 11716 13476 15453 17574 17748 19091 20214 20604 26361 30906 32567 35148 38182 40428 49793 52722 57273 61812 65134 76364 97701 99586 105444 113423 114546 130268 149379 171819 195402 199172 226846 229092 293103 298758 340269 343638 390804 448137 453692 553639 586206 597516 680538 687276 896274 1020807 1107278 1172412 1361076 1660917 1792548 1928191 2041614 2214556 3289267 3321834 3856382 4083228 4982751 5784573 6578534 6643668 7712764 9867801 9965502 11569146 13157068 17353719 19735602 19931004 23138292 29603403 34707438 39471204 55917539 59206806 69414876 111835078 118413612 167752617 223670156 335505234 503257851 671010468 1006515702 2013031404