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105535200056 = 231121373114883
BaseRepresentation
bin110001001001001100…
…0110101101100111000
3101002101221002122021012
41202102120311230320
53212114002400211
6120252053333052
710424155253666
oct1422230655470
9332357078235
10105535200056
1140836961900
1218553637188
139c4b4c9250
14517223bc36
152b2a15dd8b
hex1892635b38

105535200056 has 96 divisors (see below), whose sum is σ = 237444548880. Its totient is φ = 43673541120.

The previous prime is 105535200053. The next prime is 105535200059. The reversal of 105535200056 is 650002535501.

105535200056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (105535200053) and next prime (105535200059).

It is a super-2 number, since 2×1055352000562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105535199995 and 105535200031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105535200053) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 861191 + ... + 976073.

Almost surely, 2105535200056 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 105535200056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118722274440).

105535200056 is an abundant number, since it is smaller than the sum of its proper divisors (131909348824).

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

105535200056 is a wasteful number, since it uses less digits than its factorization.

105535200056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114997 (or 114982 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

Adding to 105535200056 its reverse (650002535501), we get a palindrome (755537735557).

The spelling of 105535200056 in words is "one hundred five billion, five hundred thirty-five million, two hundred thousand, fifty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 73 88 104 121 143 146 242 286 292 484 572 584 803 949 968 1144 1573 1606 1898 3146 3212 3796 6292 6424 7592 8833 10439 12584 17666 20878 35332 41756 70664 83512 114829 114883 229658 229766 459316 459532 918632 919064 1263713 1493479 2527426 2986958 5054852 5973916 8386459 10109704 11947832 13900843 16428269 16772918 27801686 32856538 33545836 55603372 65713076 67091672 92251049 109023967 111206744 131426152 180710959 184502098 218047934 361421918 369004196 436095868 722843836 738008392 872191736 1014761539 1199263637 1445687672 2029523078 2398527274 4059046156 4797054548 8118092312 9594109096 13191900007 26383800014 52767600028 105535200056