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11201112231136 = 254117947695157
BaseRepresentation
bin1010001011111111011001…
…0100001100110011100000
31110122211000202210120002121
42202333312110030303200
52432004334212344021
635453415300354024
72234153001014602
oct242776624146340
943584022716077
1011201112231136
1136294019298a3
12130aa259a5914
1363334ccb7159
142aa1cb25b172
151465775cd741
hexa2ff650cce0

11201112231136 has 48 divisors (see below), whose sum is σ = 22716249852240. Its totient is φ = 5433432171520.

The previous prime is 11201112231119. The next prime is 11201112231137. The reversal of 11201112231136 is 63113221110211.

11201112231136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11201112231136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201112231137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23612731 + ... + 24082426.

It is an arithmetic number, because the mean of its divisors is an integer number (473255205255).

Almost surely, 211201112231136 is an apocalyptic number.

11201112231136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11201112231136 is an abundant number, since it is smaller than the sum of its proper divisors (11515137621104).

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

11201112231136 is a wasteful number, since it uses less digits than its factorization.

11201112231136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47695387 (or 47695379 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 11201112231136 its reverse (63113221110211), we get a palindrome (74314333341347).

The spelling of 11201112231136 in words is "eleven trillion, two hundred one billion, one hundred twelve million, two hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 82 164 179 328 358 656 716 1312 1432 2864 5728 7339 14678 29356 58712 117424 234848 47695157 95390314 190780628 381561256 763122512 1526245024 1955501437 3911002874 7822005748 8537433103 15644011496 17074866206 31288022992 34149732412 62576045984 68299464824 136598929648 273197859296 350034757223 700069514446 1400139028892 2800278057784 5600556115568 11201112231136