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1121220320 = 25511677941
BaseRepresentation
bin100001011010100…
…0111011011100000
32220010202220010112
41002311013123200
54244013022240
6303131350452
736533133623
oct10265073340
92803686115
101121220320
11525999470
122735b2428
1314b3a069c
14a8ca3dba
1568678665
hex42d476e0

1121220320 has 96 divisors (see below), whose sum is σ = 2897034336. Its totient is φ = 406681600.

The previous prime is 1121220311. The next prime is 1121220323. The reversal of 1121220320 is 230221211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1121220295 and 1121220304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121220323) 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, 1191050 + ... + 1191990.

It is an arithmetic number, because the mean of its divisors is an integer number (30177441).

Almost surely, 21121220320 is an apocalyptic number.

1121220320 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 1121220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448517168).

1121220320 is an abundant number, since it is smaller than the sum of its proper divisors (1775814016).

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

1121220320 is a wasteful number, since it uses less digits than its factorization.

1121220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1121220320 is about 33484.6281150023. The cubic root of 1121220320 is about 1038.8758563486.

Adding to 1121220320 its reverse (230221211), we get a palindrome (1351441531).

The spelling of 1121220320 in words is "one billion, one hundred twenty-one million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 677 880 941 1354 1760 1882 2708 3385 3764 4705 5416 6770 7447 7528 9410 10351 10832 13540 14894 15056 18820 20702 21664 27080 29788 30112 37235 37640 41404 51755 54160 59576 74470 75280 82808 103510 108320 119152 148940 150560 165616 207020 238304 297880 331232 414040 595760 637057 828080 1191520 1274114 1656160 2548228 3185285 5096456 6370570 7007627 10192912 12741140 14015254 20385824 25482280 28030508 35038135 50964560 56061016 70076270 101929120 112122032 140152540 224244064 280305080 560610160 1121220320