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1121444028 = 2236232727
BaseRepresentation
bin100001011010111…
…1110000010111100
32220011012021000000
41002311332002330
54244042202103
6303140234300
736535055055
oct10265760274
92804167000
101121444028
11526031551
1227369b990
1314b44b463
14a8d2172c
15686beaa3
hex42d7e0bc

1121444028 has 126 divisors (see below), whose sum is σ = 3080170184. Its totient is φ = 357070032.

The previous prime is 1121444021. The next prime is 1121444041. The reversal of 1121444028 is 8204441211.

1121444028 is a `hidden beast` number, since 1 + 1 + 214 + 440 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1121443992 and 1121444010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121444021) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1542201 + ... + 1542927.

Almost surely, 21121444028 is an apocalyptic number.

1121444028 is a gapful number since it is divisible by the number (18) 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 1121444028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540085092).

1121444028 is an abundant number, since it is smaller than the sum of its proper divisors (1958726156).

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

1121444028 is an equidigital number, since it uses as much as digits as its factorization.

1121444028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1121444028 is about 33487.9684065785. The cubic root of 1121444028 is about 1038.9449445795.

Adding to 1121444028 its reverse (8204441211), we get a palindrome (9325885239).

The spelling of 1121444028 in words is "one billion, one hundred twenty-one million, four hundred forty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 529 621 727 729 828 972 1058 1242 1454 1458 1587 1863 2116 2181 2484 2908 2916 3174 3726 4362 4761 5589 6348 6543 7452 8724 9522 11178 13086 14283 16721 16767 19044 19629 22356 26172 28566 33442 33534 39258 42849 50163 57132 58887 66884 67068 78516 85698 100326 117774 128547 150489 171396 176661 200652 235548 257094 300978 353322 384583 385641 451467 514188 529983 601956 706644 769166 771282 902934 1059966 1153749 1354401 1538332 1542564 1805868 2119932 2307498 2708802 3461247 4063203 4614996 5417604 6922494 8126406 10383741 12189609 13844988 16252812 20767482 24379218 31151223 41534964 48758436 62302446 93453669 124604892 186907338 280361007 373814676 560722014 1121444028