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1103130000 = 243254717103
BaseRepresentation
bin100000111000000…
…0110110110010000
32211212201210212200
41001300012312100
54224400130000
6301243523200
736223310310
oct10160066620
92755653780
101103130000
11516762995
12269529500
1314770855b
14a6715440
1566ca3500
hex41c06d90

1103130000 has 600 divisors, whose sum is σ = 4713591168. Its totient is φ = 235008000.

The previous prime is 1103129999. The next prime is 1103130013. The reversal of 1103130000 is 313011.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10709949 + ... + 10710051.

Almost surely, 21103130000 is an apocalyptic number.

1103130000 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 1103130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356795584).

1103130000 is an abundant number, since it is smaller than the sum of its proper divisors (3610461168).

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

1103130000 is a wasteful number, since it uses less digits than its factorization.

1103130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1103130000 is about 33213.4009098737. The cubic root of 1103130000 is about 1033.2582903071.

Adding to 1103130000 its reverse (313011), we get a palindrome (1103443011).

The spelling of 1103130000 in words is "one billion, one hundred three million, one hundred thirty thousand".