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1112021120 = 2757401619
BaseRepresentation
bin100001001001000…
…0001100010000000
32212111110112012102
41002102001202000
54234134133440
6302202245532
736362011040
oct10222014200
92774415172
101112021120
11520785a21
122704b68a8
131494cc482
14a798b720
156795cb15
hex42481880

1112021120 has 128 divisors (see below), whose sum is σ = 3050697600. Its totient is φ = 379699200.

The previous prime is 1112021111. The next prime is 1112021123. The reversal of 1112021120 is 211202111.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1112021123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1796171 + ... + 1796789.

It is an arithmetic number, because the mean of its divisors is an integer number (23833575).

Almost surely, 21112021120 is an apocalyptic number.

1112021120 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 1112021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525348800).

1112021120 is an abundant number, since it is smaller than the sum of its proper divisors (1938676480).

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

1112021120 is an equidigital number, since it uses as much as digits as its factorization.

1112021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1112021120 is about 33346.9806729185. The cubic root of 1112021120 is about 1036.0268524119.

Adding to 1112021120 its reverse (211202111), we get a palindrome (1323223231).

The spelling of 1112021120 in words is "one billion, one hundred twelve million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 401 448 560 619 640 802 896 1120 1238 1604 2005 2240 2476 2807 3095 3208 4010 4333 4480 4952 5614 6190 6416 8020 8666 9904 11228 12380 12832 14035 16040 17332 19808 21665 22456 24760 25664 28070 32080 34664 39616 43330 44912 49520 51328 56140 64160 69328 79232 86660 89824 99040 112280 128320 138656 173320 179648 198080 224560 248219 256640 277312 346640 359296 396160 449120 496438 554624 693280 898240 992876 1241095 1386560 1737533 1796480 1985752 2482190 2773120 3475066 3971504 4964380 6950132 7943008 8687665 9928760 13900264 15886016 17375330 19857520 27800528 31772032 34750660 39715040 55601056 69501320 79430080 111202112 139002640 158860160 222404224 278005280 556010560 1112021120