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11313214434 = 235177917333
BaseRepresentation
bin10101000100101000…
…11111001111100010
31002012102210211200000
422202110133033202
5141132140330214
65110333240430
7550231510314
oct124224371742
932172724600
1011313214434
1148860184a5
122238933116
1310b3aa1132
147947237b4
1546330d809
hex2a251f3e2

11313214434 has 96 divisors (see below), whose sum is σ = 27257368320. Its totient is φ = 3504114432.

The previous prime is 11313214421. The next prime is 11313214453. The reversal of 11313214434 is 43441231311.

11313214434 is a `hidden beast` number, since 1 + 1 + 3 + 13 + 214 + 434 = 666.

11313214434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11313214398 and 11313214407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644032 + ... + 661364.

It is an arithmetic number, because the mean of its divisors is an integer number (283930920).

Almost surely, 211313214434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11313214434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13628684160).

11313214434 is an abundant number, since it is smaller than the sum of its proper divisors (15944153886).

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

11313214434 is a wasteful number, since it uses less digits than its factorization.

11313214434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17446 (or 17434 counting only the distinct ones).

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

Adding to 11313214434 its reverse (43441231311), we get a palindrome (54754445745).

The spelling of 11313214434 in words is "eleven billion, three hundred thirteen million, two hundred fourteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 79 81 102 153 158 162 237 243 306 459 474 486 711 918 1343 1377 1422 2133 2686 2754 4029 4131 4266 6399 8058 8262 12087 12798 17333 19197 24174 34666 36261 38394 51999 72522 103998 108783 155997 217566 294661 311994 326349 467991 589322 652698 883983 935982 1369307 1403973 1767966 2651949 2738614 2807946 4107921 4211919 5303898 7955847 8215842 8423838 12323763 15911694 23278219 23867541 24647526 36971289 46556438 47735082 69834657 71602623 73942578 110913867 139669314 143205246 209503971 221827734 332741601 419007942 628511913 665483202 1257023826 1885535739 3771071478 5656607217 11313214434