Search a number
-
+
11103131520 = 2732513148279
BaseRepresentation
bin10100101011100110…
…00101011110000000
31001122210111112002100
422111303011132000
5140214400202040
65033430350400
7542101026555
oct122563053600
931583445070
1011103131520
114788479058
12219a4bb400
13107c3c6610
14774878a2c
1544eb61b30
hex295cc5780

11103131520 has 192 divisors, whose sum is σ = 41290048800. Its totient is φ = 2733060096.

The previous prime is 11103131519. The next prime is 11103131563. The reversal of 11103131520 is 2513130111.

11103131520 is a `hidden beast` number, since 1 + 1 + 10 + 3 + 131 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11103131493 and 11103131502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741 + ... + 149019.

Almost surely, 211103131520 is an apocalyptic number.

11103131520 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 11103131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20645024400).

11103131520 is an abundant number, since it is smaller than the sum of its proper divisors (30186917280).

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

11103131520 is a wasteful number, since it uses less digits than its factorization.

11103131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148317 (or 148302 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 11103131520 its reverse (2513130111), we get a palindrome (13616261631).

The spelling of 11103131520 in words is "eleven billion, one hundred three million, one hundred thirty-one thousand, five hundred twenty".