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1100533140 = 2232572124777
BaseRepresentation
bin100000110011000…
…1100110110010100
32211200211212122200
41001212030312110
54223214030030
6301112124500
736162243300
oct10146146624
92750755580
101100533140
11515249923
12268696730
13147009555
14a623ad00
156693dd60
hex4198cd94

1100533140 has 108 divisors (see below), whose sum is σ = 3883340916. Its totient is φ = 251548416.

The previous prime is 1100533129. The next prime is 1100533163. The reversal of 1100533140 is 413350011.

It can be written as a sum of positive squares in 2 ways, for example, as 559133316 + 541399824 = 23646^2 + 23268^2 .

It is a super-2 number, since 2×11005331402 = 2422346384476519200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53569 + ... + 71208.

Almost surely, 21100533140 is an apocalyptic number.

1100533140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100533140 is an abundant number, since it is smaller than the sum of its proper divisors (2782807776).

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

1100533140 is a wasteful number, since it uses less digits than its factorization.

1100533140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124806 (or 124794 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1100533140 is about 33174.2843178267. The cubic root of 1100533140 is about 1032.4468611932.

Adding to 1100533140 its reverse (413350011), we get a palindrome (1513883151).

The spelling of 1100533140 in words is "one billion, one hundred million, five hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 124777 249554 374331 499108 623885 748662 873439 1122993 1247770 1497324 1746878 1871655 2245986 2495540 2620317 3493756 3743310 4367195 4491972 5240634 5614965 6114073 7486620 7860951 8734390 10481268 11229930 12228146 13101585 15721902 17468780 18342219 22459860 24456292 26203170 30570365 31443804 36684438 39304755 52406340 55026657 61140730 73368876 78609510 91711095 110053314 122281460 157219020 183422190 220106628 275133285 366844380 550266570 1100533140