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1130104320 = 2935374197
BaseRepresentation
bin100001101011100…
…0000011000000000
32220202111020200120
41003113000120000
54303301314240
6304050020240
740001504532
oct10327003000
92822436616
101130104320
1152aa07114
12276577680
131501912a7
14aa137852
1569330ad0
hex435c0600

1130104320 has 320 divisors, whose sum is σ = 3840129216. Its totient is φ = 283115520.

The previous prime is 1130104273. The next prime is 1130104351. The reversal of 1130104320 is 234010311.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1130104320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11650512 + ... + 11650608.

Almost surely, 21130104320 is an apocalyptic number.

1130104320 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 1130104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920064608).

1130104320 is an abundant number, since it is smaller than the sum of its proper divisors (2710024896).

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

1130104320 is an equidigital number, since it uses as much as digits as its factorization.

1130104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1130104320 is about 33617.0242585509. The cubic root of 1130104320 is about 1041.6124887307.

Adding to 1130104320 its reverse (234010311), we get a palindrome (1364114631).

The spelling of 1130104320 in words is "one billion, one hundred thirty million, one hundred four thousand, three hundred twenty".