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1100320101120 = 28351049273157
BaseRepresentation
bin10000000000110000001…
…100000101001100000000
310220012010012101120220210
4100000300030011030000
5121011423421213440
62201251410234120
7142331646353652
oct20006014051400
93805105346823
101100320101120
11394709014779
121592bab85940
137c9b51c3516
143b381bd06d2
151d94db30a80
hex10030305300

1100320101120 has 144 divisors (see below), whose sum is σ = 3517510197600. Its totient is φ = 293137907712.

The previous prime is 1100320101113. The next prime is 1100320101121. The reversal of 1100320101120 is 211010230011.

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 = 1100320101096 and 1100320101105.

It is not an unprimeable number, because it can be changed into a prime (1100320101121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3891582 + ... + 4164738.

It is an arithmetic number, because the mean of its divisors is an integer number (24427154150).

Almost surely, 21100320101120 is an apocalyptic number.

1100320101120 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 1100320101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758755098800).

1100320101120 is an abundant number, since it is smaller than the sum of its proper divisors (2417190096480).

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

1100320101120 is a wasteful number, since it uses less digits than its factorization.

1100320101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274230 (or 274216 counting only the distinct ones).

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

Adding to 1100320101120 its reverse (211010230011), we get a palindrome (1311330331131).

The spelling of 1100320101120 in words is "one trillion, one hundred billion, three hundred twenty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1049 1280 1920 2098 3147 3840 4196 5245 6294 8392 10490 12588 15735 16784 20980 25176 31470 33568 41960 50352 62940 67136 83920 100704 125880 134272 167840 201408 251760 268544 273157 335680 402816 503520 546314 671360 805632 819471 1007040 1092628 1342720 1365785 1638942 2014080 2185256 2731570 3277884 4028160 4097355 4370512 5463140 6555768 8194710 8741024 10926280 13111536 16389420 17482048 21852560 26223072 32778840 34964096 43705120 52446144 65557680 69928192 87410240 104892288 131115360 174820480 209784576 262230720 286541693 349640960 524461440 573083386 859625079 1048922880 1146166772 1432708465 1719250158 2292333544 2865416930 3438500316 4298125395 4584667088 5730833860 6877000632 8596250790 9169334176 11461667720 13754001264 17192501580 18338668352 22923335440 27508002528 34385003160 36677336704 45846670880 55016005056 68770006320 73354673408 91693341760 110032010112 137540012640 183386683520 220064020224 275080025280 366773367040 550160050560 1100320101120