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1131011130 = 2353110112041
BaseRepresentation
bin100001101101001…
…1101110000111010
32220211012022121010
41003122131300322
54304014324010
6304121254350
740012302354
oct10332356072
92824168533
101131011130
11530476447
122769343b6
1315041ac72
14aa2d20d4
156945e620
hex4369dc3a

1131011130 has 64 divisors (see below), whose sum is σ = 2829966336. Its totient is φ = 288960000.

The previous prime is 1131011129. The next prime is 1131011159. The reversal of 1131011130 is 311101311.

1131011130 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

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, 87910 + ... + 99950.

It is an arithmetic number, because the mean of its divisors is an integer number (44218224).

Almost surely, 21131011130 is an apocalyptic number.

1131011130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131011130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414983168).

1131011130 is an abundant number, since it is smaller than the sum of its proper divisors (1698955206).

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

1131011130 is a wasteful number, since it uses less digits than its factorization.

1131011130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12183.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 1131011130 is about 33630.5089167559. The cubic root of 1131011130 is about 1041.8910152580.

Adding to 1131011130 its reverse (311101311), we get a palindrome (1442112441).

The spelling of 1131011130 in words is "one billion, one hundred thirty-one million, eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 101 155 186 202 303 310 465 505 606 930 1010 1515 3030 3131 6262 9393 12041 15655 18786 24082 31310 36123 46965 60205 72246 93930 120410 180615 361230 373271 746542 1119813 1216141 1866355 2239626 2432282 3648423 3732710 5599065 6080705 7296846 11198130 12161410 18242115 36484230 37700371 75400742 113101113 188501855 226202226 377003710 565505565 1131011130