Search a number
-
+
11311004424033 = 3313930765914897
BaseRepresentation
bin1010010010011000110001…
…1001101001011101100001
31111001022200100100100221000
42210212030121221131201
52440304414113032113
640020111555422213
72245123143155616
oct244461431513541
944038610310830
1011311004424033
113670a74135926
1213281945b4969
13640814068b72
142b1653dba50d
15149359ecd373
hexa498c669761

11311004424033 has 64 divisors (see below), whose sum is σ = 16959406464000. Its totient is φ = 7450211043072.

The previous prime is 11311004424017. The next prime is 11311004424053. The reversal of 11311004424033 is 33042440011311.

11311004424033 is a `hidden beast` number, since 1 + 131 + 100 + 4 + 424 + 0 + 3 + 3 = 666.

It is not a de Polignac number, because 11311004424033 - 24 = 11311004424017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11311004423988 and 11311004424006.

It is not an unprimeable number, because it can be changed into a prime (11311004424053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 759273241 + ... + 759288137.

It is an arithmetic number, because the mean of its divisors is an integer number (264990726000).

Almost surely, 211311004424033 is an apocalyptic number.

It is an amenable number.

11311004424033 is a deficient number, since it is larger than the sum of its proper divisors (5648402039967).

11311004424033 is a wasteful number, since it uses less digits than its factorization.

11311004424033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16011 (or 16005 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11311004424033 its reverse (33042440011311), we get a palindrome (44353444435344).

The spelling of 11311004424033 in words is "eleven trillion, three hundred eleven billion, four million, four hundred twenty-four thousand, thirty-three".

Divisors: 1 3 9 27 139 307 417 659 921 1251 1977 2763 3753 5931 8289 14897 17793 42673 44691 91601 128019 134073 202313 274803 384057 402219 606939 824409 1152171 1820817 2070683 2473227 4573379 5462451 6212049 9817123 13720137 18636147 28121507 29451369 41160411 55908441 84364521 88354107 123481233 253093563 265062321 635699681 759280689 1364580097 1907099043 3013856761 4093740291 5721297129 9041570283 12281220873 17163891387 27124710849 36843662619 81374132547 418926089779 1256778269337 3770334808011 11311004424033