Search a number
-
+
111453512040 = 233251347506699
BaseRepresentation
bin110011111001100100…
…1011010000101101000
3101122200101110001001100
41213303021122011220
53311224044341130
6123111231321400
711023631135613
oct1476311320550
9348611401040
10111453512040
11432a3669232
1219725680260
13a6826934c0
14557426517a
152d74a0cc60
hex19f325a168

111453512040 has 192 divisors, whose sum is σ = 398387808000. Its totient is φ = 26850940416.

The previous prime is 111453512039. The next prime is 111453512081. The reversal of 111453512040 is 40215354111.

111453512040 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 535 + 120 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 111453511995 and 111453512013.

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, 33390 + ... + 473309.

It is an arithmetic number, because the mean of its divisors is an integer number (2074936500).

Almost surely, 2111453512040 is an apocalyptic number.

111453512040 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 111453512040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199193904000).

111453512040 is an abundant number, since it is smaller than the sum of its proper divisors (286934295960).

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

111453512040 is a wasteful number, since it uses less digits than its factorization.

111453512040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506776 (or 506769 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 111453512040 its reverse (40215354111), we get a palindrome (151668866151).

It can be divided in two parts, 11145 and 3512040, that added together give a triangular number (3523185 = T2654).

The spelling of 111453512040 in words is "one hundred eleven billion, four hundred fifty-three million, five hundred twelve thousand, forty".