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1100132320 = 25572236101
BaseRepresentation
bin100000110010010…
…1010111111100000
32211200002111211111
41001210222333200
54223113213240
6301055353104
736155653600
oct10144527740
92750074744
101100132320
11514aa5771
12268522794
13146bc8c91
14a6174c00
15668b01ea
hex4192afe0

1100132320 has 144 divisors (see below), whose sum is σ = 3155368608. Its totient is φ = 360729600.

The previous prime is 1100132317. The next prime is 1100132321. The reversal of 1100132320 is 232310011.

It is a super-2 number, since 2×11001323202 = 2420582243017164800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1100132320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100132321) 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, 177270 + ... + 183370.

It is an arithmetic number, because the mean of its divisors is an integer number (21912282).

Almost surely, 21100132320 is an apocalyptic number.

1100132320 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 1100132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577684304).

1100132320 is an abundant number, since it is smaller than the sum of its proper divisors (2055236288).

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

1100132320 is a wasteful number, since it uses less digits than its factorization.

1100132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6153 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1100132320 is about 33168.2426426243. The cubic root of 1100132320 is about 1032.3215051013.

Adding to 1100132320 its reverse (232310011), we get a palindrome (1332442331).

The spelling of 1100132320 in words is "one billion, one hundred million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 49 56 70 80 92 98 112 115 140 160 161 184 196 224 230 245 280 322 368 392 460 490 560 644 736 784 805 920 980 1120 1127 1288 1568 1610 1840 1960 2254 2576 3220 3680 3920 4508 5152 5635 6101 6440 7840 9016 11270 12202 12880 18032 22540 24404 25760 30505 36064 42707 45080 48808 61010 85414 90160 97616 122020 140323 170828 180320 195232 213535 244040 280646 298949 341656 427070 488080 561292 597898 683312 701615 854140 976160 982261 1122584 1195796 1366624 1403230 1494745 1708280 1964522 2245168 2391592 2806460 2989490 3416560 3929044 4490336 4783184 4911305 5612920 5978980 6833120 6875827 7858088 9566368 9822610 11225840 11957960 13751654 15716176 19645220 22451680 23915920 27503308 31432352 34379135 39290440 47831840 55006616 68758270 78580880 110013232 137516540 157161760 220026464 275033080 550066160 1100132320