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1130131100 = 2252721713567
BaseRepresentation
bin100001101011100…
…0110111010011100
32220202112121102102
41003113012322130
54303303143400
6304050344232
740001645600
oct10327067234
92822477372
101130131100
1152aa2524a
1227658b078
131501a0537
14aa143500
15693389d5
hex435c6e9c

1130131100 has 108 divisors (see below), whose sum is σ = 3020806656. Its totient is φ = 364654080.

The previous prime is 1130131097. The next prime is 1130131109. The reversal of 1130131100 is 11310311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130131109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76517 + ... + 90083.

It is an arithmetic number, because the mean of its divisors is an integer number (27970432).

Almost surely, 21130131100 is an apocalyptic number.

1130131100 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 1130131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510403328).

1130131100 is an abundant number, since it is smaller than the sum of its proper divisors (1890675556).

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

1130131100 is a wasteful number, since it uses less digits than its factorization.

1130131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13612 (or 13598 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1130131100 is about 33617.4225662825. The cubic root of 1130131100 is about 1041.6207163375.

Adding to 1130131100 its reverse (11310311), we get a palindrome (1141441411).

The spelling of 1130131100 in words is "one billion, one hundred thirty million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 49 50 68 70 85 98 100 119 140 170 175 196 238 245 340 350 425 476 490 595 700 833 850 980 1190 1225 1666 1700 2380 2450 2975 3332 4165 4900 5950 8330 11900 13567 16660 20825 27134 41650 54268 67835 83300 94969 135670 189938 230639 271340 339175 379876 461278 474845 664783 678350 922556 949690 1153195 1329566 1356700 1614473 1899380 2306390 2374225 2659132 3228946 3323915 4612780 4748450 5765975 6457892 6647830 8072365 9496900 11301311 11531950 13295660 16144730 16619575 22602622 23063900 32289460 33239150 40361825 45205244 56506555 66478300 80723650 113013110 161447300 226026220 282532775 565065550 1130131100