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1130101100 = 2252109199521
BaseRepresentation
bin100001101011011…
…1111100101101100
32220202111002021022
41003112333211230
54303301213400
6304045553312
740001462252
oct10326774554
92822432238
101130101100
1152aa04757
12276575838
1315018c99b
14aa1365d2
156932eb85
hex435bf96c

1130101100 has 72 divisors (see below), whose sum is σ = 2492028000. Its totient is φ = 444787200.

The previous prime is 1130101099. The next prime is 1130101109. The reversal of 1130101100 is 11010311.

It is not an unprimeable number, because it can be changed into a prime (1130101109) 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, 2168840 + ... + 2169360.

It is an arithmetic number, because the mean of its divisors is an integer number (34611500).

Almost surely, 21130101100 is an apocalyptic number.

1130101100 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 1130101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246014000).

1130101100 is an abundant number, since it is smaller than the sum of its proper divisors (1361926900).

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

1130101100 is a wasteful number, since it uses less digits than its factorization.

1130101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 1130101100 is about 33616.9763661160. The cubic root of 1130101100 is about 1041.6114994428.

Adding to 1130101100 its reverse (11010311), we get a palindrome (1141111411).

The spelling of 1130101100 in words is "one billion, one hundred thirty million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 199 218 398 436 521 545 796 995 1042 1090 1990 2084 2180 2605 2725 3980 4975 5210 5450 9950 10420 10900 13025 19900 21691 26050 43382 52100 56789 86764 103679 108455 113578 207358 216910 227156 283945 414716 433820 518395 542275 567890 1036790 1084550 1135780 1419725 2073580 2169100 2591975 2839450 5183950 5678900 10367900 11301011 22602022 45204044 56505055 113010110 226020220 282525275 565050550 1130101100