Search a number
-
+
11103000552 = 2332732937419
BaseRepresentation
bin10100101011100101…
…00101011111101000
31001122210020212102200
422111302211133220
5140214332004202
65033423500200
7542066643000
oct122562453750
931583225380
1011103000552
114788399716
12219a457660
13107c37bb17
14774843000
1544eb37e1c
hex295ca57e8

11103000552 has 384 divisors, whose sum is σ = 37346400000. Its totient is φ = 2973003264.

The previous prime is 11103000551. The next prime is 11103000637. The reversal of 11103000552 is 25500030111.

11103000552 is a `hidden beast` number, since 1 + 110 + 3 + 0 + 0 + 0 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11103000551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26498599 + ... + 26499017.

It is an arithmetic number, because the mean of its divisors is an integer number (97256250).

Almost surely, 211103000552 is an apocalyptic number.

11103000552 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 11103000552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18673200000).

11103000552 is an abundant number, since it is smaller than the sum of its proper divisors (26243399448).

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

11103000552 is a wasteful number, since it uses less digits than its factorization.

11103000552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 11103000552 its reverse (25500030111), we get a palindrome (36603030663).

The spelling of 11103000552 in words is "eleven billion, one hundred three million, five hundred fifty-two", and thus it is an aban number.