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11132004140 = 2252334969341
BaseRepresentation
bin10100101111000010…
…01110011100101100
31001201210211101212122
422113201032130230
5140244243113030
65040341252112
7542601321365
oct122741163454
931653741778
1011132004140
1147a27a9524
1221a8104038
1310853953ca
14778632b6c
154524668e5
hex29784e72c

11132004140 has 48 divisors (see below), whose sum is σ = 24463857600. Its totient is φ = 4246936320.

The previous prime is 11132004137. The next prime is 11132004157. The reversal of 11132004140 is 4140023111.

It is a happy number.

11132004140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 125870 + ... + 195210.

It is an arithmetic number, because the mean of its divisors is an integer number (509663700).

Almost surely, 211132004140 is an apocalyptic number.

11132004140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12231928800).

11132004140 is an abundant number, since it is smaller than the sum of its proper divisors (13331853460).

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

11132004140 is a wasteful number, since it uses less digits than its factorization.

11132004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69722 (or 69720 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11132004140 its reverse (4140023111), we get a palindrome (15272027251).

The spelling of 11132004140 in words is "eleven billion, one hundred thirty-two million, four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 349 460 698 1396 1745 3490 6980 8027 16054 32108 40135 69341 80270 138682 160540 277364 346705 693410 1386820 1594843 3189686 6379372 7974215 15948430 24200009 31896860 48400018 96800036 121000045 242000090 484000180 556600207 1113200414 2226400828 2783001035 5566002070 11132004140