Search a number
-
+
11201312531004 = 22347130718798087
BaseRepresentation
bin1010001100000000001001…
…0000010010001000111100
31110122211112201200211212020
42203000002100102020330
52432010242001443004
635453451213440140
72234160652361331
oct243000220221074
943584481624766
1011201312531004
1136294a49a7082
12130aa80aa0050
13633382647a9b
142aa209aba988
15146589e968d9
hexa300241223c

11201312531004 has 96 divisors (see below), whose sum is σ = 26730433658880. Its totient is φ = 3649138314432.

The previous prime is 11201312530999. The next prime is 11201312531063. The reversal of 11201312531004 is 40013521310211.

It is a super-2 number, since 2×112013125310042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1385097049 + ... + 1385105135.

It is an arithmetic number, because the mean of its divisors is an integer number (278442017280).

Almost surely, 211201312531004 is an apocalyptic number.

It is an amenable number.

11201312531004 is an abundant number, since it is smaller than the sum of its proper divisors (15529121127876).

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

11201312531004 is a wasteful number, since it uses less digits than its factorization.

11201312531004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11327 (or 11325 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 11201312531004 its reverse (40013521310211), we get a palindrome (51214833841215).

The spelling of 11201312531004 in words is "eleven trillion, two hundred one billion, three hundred twelve million, five hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 1307 1879 2614 3758 3921 5228 5637 7516 7842 8087 11274 15684 16174 22548 24261 32348 48522 61429 88313 97044 122858 176626 184287 245716 264939 353252 368574 380089 529878 737148 760178 1059756 1140267 1520356 2280534 2455853 4561068 4911706 7367559 9823412 10569709 14735118 15195473 21139418 29470236 30390946 31709127 42278836 45586419 60781892 63418254 91172838 115425091 126836508 182345676 230850182 346275273 461700364 496776323 692550546 714187231 993552646 1385101092 1428374462 1490328969 1987105292 2142561693 2856748924 2980657938 4285123386 5961315876 8570246772 19860483211 39720966422 59581449633 79441932844 119162899266 238325798532 933442710917 1866885421834 2800328132751 3733770843668 5600656265502 11201312531004