Search a number
-
+
11032043511132 = 2233759324608179
BaseRepresentation
bin1010000010001001100100…
…0010001101110101011100
31110001122122002011200222000
42200202121002031311130
52421222111114324012
635244014551122300
72216016215424510
oct240423102156534
943048562150860
1011032043511132
113573732a59116
1212a2101073390
13620417c89227
142a1d4d164140
15141e7e8dcddc
hexa089908dd5c

11032043511132 has 96 divisors (see below), whose sum is σ = 32742659980800. Its totient is φ = 3146696937216.

The previous prime is 11032043511113. The next prime is 11032043511157. The reversal of 11032043511132 is 23111534023011.

11032043511132 is a `hidden beast` number, since 1 + 10 + 3 + 2 + 0 + 4 + 3 + 511 + 132 = 666.

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 = 11032043511096 and 11032043511105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11855782 + ... + 12752397.

It is an arithmetic number, because the mean of its divisors is an integer number (341069374800).

Almost surely, 211032043511132 is an apocalyptic number.

11032043511132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11032043511132 is an abundant number, since it is smaller than the sum of its proper divisors (21710616469668).

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

11032043511132 is a wasteful number, since it uses less digits than its factorization.

11032043511132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24608792 (or 24608784 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 11032043511132 its reverse (23111534023011), we get a palindrome (34143577534143).

The spelling of 11032043511132 in words is "eleven trillion, thirty-two billion, forty-three million, five hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 593 756 1186 1779 2372 3558 4151 5337 7116 8302 10674 12453 16011 16604 21348 24906 32022 37359 49812 64044 74718 112077 149436 224154 448308 24608179 49216358 73824537 98432716 147649074 172257253 221473611 295298148 344514506 442947222 516771759 664420833 689029012 885894444 1033543518 1328841666 1550315277 2067087036 2657683332 3100630554 4650945831 6201261108 9301891662 14592650147 18603783324 29185300294 43777950441 58370600588 87555900882 102148551029 131333851323 175111801764 204297102058 262667702646 306445653087 394001553969 408594204116 525335405292 612891306174 788003107938 919336959261 1225782612348 1576006215876 1838673918522 2758010877783 3677347837044 5516021755566 11032043511132