Search a number
-
+
11203233203232 = 2532725138895693
BaseRepresentation
bin1010001100000111010010…
…1111000100010000100000
31110200000111120210002211200
42203001310233010100200
52432023210200000412
635454405544241200
72234256363666660
oct243016457042040
943600446702750
1011203233203232
11362a2a00915a4
12130b318170200
136335ca538a25
142aa34cc061a0
1514664d8d99dc
hexa3074bc4420

11203233203232 has 288 divisors, whose sum is σ = 36571392224640. Its totient is φ = 3186791424000.

The previous prime is 11203233203119. The next prime is 11203233203273. The reversal of 11203233203232 is 23230233230211.

11203233203232 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 3 + 2 + 332 + 0 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 11203233203196 and 11203233203205.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1967893378 + ... + 1967899070.

It is an arithmetic number, because the mean of its divisors is an integer number (126984000780).

Almost surely, 211203233203232 is an apocalyptic number.

11203233203232 is a gapful number since it is divisible by the number (12) 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 11203233203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18285696112320).

11203233203232 is an abundant number, since it is smaller than the sum of its proper divisors (25368159021408).

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

11203233203232 is a wasteful number, since it uses less digits than its factorization.

11203233203232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9856 (or 9845 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 11203233203232 its reverse (23230233230211), we get a palindrome (34433466433443).

The spelling of 11203233203232 in words is "eleven trillion, two hundred three billion, two hundred thirty-three million, two hundred three thousand, two hundred thirty-two".