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11123200044 = 22331113171473
BaseRepresentation
bin10100101101111111…
…01001000000101100
31001201012021002221000
422112333221000230
5140240014400134
65035424440300
7542433432435
oct122677510054
931635232830
1011123200044
114798835910
1221a5179090
131083601c98
147773c048c
154517c7e99
hex296fe902c

11123200044 has 96 divisors (see below), whose sum is σ = 31700148480. Its totient is φ = 3344889600.

The previous prime is 11123200043. The next prime is 11123200051. The reversal of 11123200044 is 44000232111.

11123200044 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 (18).

It is not an unprimeable number, because it can be changed into a prime (11123200043) 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 31 ways as a sum of consecutive naturals, for example, 119892 + ... + 191364.

It is an arithmetic number, because the mean of its divisors is an integer number (330209880).

Almost surely, 211123200044 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 11123200044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850074240).

11123200044 is an abundant number, since it is smaller than the sum of its proper divisors (20576948436).

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

11123200044 is a wasteful number, since it uses less digits than its factorization.

11123200044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71628 (or 71620 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11123200044 its reverse (44000232111), we get a palindrome (55123432155).

The spelling of 11123200044 in words is "eleven billion, one hundred twenty-three million, two hundred thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 131 132 198 262 297 393 396 524 594 786 1179 1188 1441 1572 2358 2882 3537 4323 4716 5764 7074 8646 12969 14148 17292 25938 38907 51876 71473 77814 142946 155628 214419 285892 428838 643257 786203 857676 1286514 1572406 1929771 2358609 2573028 3144812 3859542 4717218 7075827 7719084 9362963 9434436 14151654 18725926 21227481 28088889 28303308 37451852 42454962 56177778 84266667 84909924 102992593 112355556 168533334 205985186 252800001 308977779 337066668 411970372 505600002 617955558 926933337 1011200004 1235911116 1853866674 2780800011 3707733348 5561600022 11123200044