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1130019100 = 2252713112323
BaseRepresentation
bin100001101011010…
…1011100100011100
32220202022220210021
41003112223210130
54303241102400
6304044121524
740001001220
oct10326534434
92822286707
101130019100
1152a959091
122765362a4
13150161572
14aa114780
156931571a
hex435ab91c

1130019100 has 72 divisors (see below), whose sum is σ = 2824069248. Its totient is φ = 384446400.

The previous prime is 1130019071. The next prime is 1130019101. The reversal of 1130019100 is 19100311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130019101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85539 + ... + 97861.

It is an arithmetic number, because the mean of its divisors is an integer number (39223184).

Almost surely, 21130019100 is an apocalyptic number.

1130019100 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 1130019100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412034624).

1130019100 is an abundant number, since it is smaller than the sum of its proper divisors (1694050148).

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

1130019100 is a wasteful number, since it uses less digits than its factorization.

1130019100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12475 (or 12468 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 16.

The square root of 1130019100 is about 33615.7567221088. The cubic root of 1130019100 is about 1041.5863057650.

Adding to 1130019100 its reverse (19100311), we get a palindrome (1149119411).

The spelling of 1130019100 in words is "one billion, one hundred thirty million, nineteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 131 140 175 262 350 524 655 700 917 1310 1834 2620 3275 3668 4585 6550 9170 12323 13100 18340 22925 24646 45850 49292 61615 86261 91700 123230 172522 246460 308075 345044 431305 616150 862610 1232300 1614313 1725220 2156525 3228626 4313050 6457252 8071565 8626100 11300191 16143130 22600382 32286260 40357825 45200764 56500955 80715650 113001910 161431300 226003820 282504775 565009550 1130019100