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1101132120 = 2335113672273
BaseRepresentation
bin100000110100001…
…1111000101011000
32211201222022022010
41001220133011120
54223342211440
6301133025520
736200316504
oct10150370530
92751868263
101101132120
11515618950
122689252a0
1314718908a
14a6355304
1566a0b580
hex41a1f158

1101132120 has 128 divisors (see below), whose sum is σ = 3615114240. Its totient is φ = 266096640.

The previous prime is 1101132101. The next prime is 1101132127. The reversal of 1101132120 is 212311011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1101132096 and 1101132105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101132127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 483304 + ... + 485576.

It is an arithmetic number, because the mean of its divisors is an integer number (28243080).

Almost surely, 21101132120 is an apocalyptic number.

1101132120 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 1101132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807557120).

1101132120 is an abundant number, since it is smaller than the sum of its proper divisors (2513982120).

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

1101132120 is a wasteful number, since it uses less digits than its factorization.

1101132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2661 counting only the distinct ones).

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

The square root of 1101132120 is about 33183.3108655541. The cubic root of 1101132120 is about 1032.6341349301.

Adding to 1101132120 its reverse (212311011), we get a palindrome (1313443131).

The spelling of 1101132120 in words is "one billion, one hundred one million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 367 440 660 734 1101 1320 1468 1835 2202 2273 2936 3670 4037 4404 4546 5505 6819 7340 8074 8808 9092 11010 11365 12111 13638 14680 16148 18184 20185 22020 22730 24222 25003 27276 32296 34095 40370 44040 45460 48444 50006 54552 60555 68190 75009 80740 90920 96888 100012 121110 125015 136380 150018 161480 200024 242220 250030 272760 300036 375045 484440 500060 600072 750090 834191 1000120 1500180 1668382 2502573 3000360 3336764 4170955 5005146 6673528 8341910 9176101 10010292 12512865 16683820 18352202 20020584 25025730 27528303 33367640 36704404 45880505 50051460 55056606 73408808 91761010 100102920 110113212 137641515 183522020 220226424 275283030 367044040 550566060 1101132120