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1121330448 = 243271958549
BaseRepresentation
bin100001011010110…
…0010010100010000
32220010222111012100
41002311202110100
54244030033243
6303134000400
736534102660
oct10265422420
92803874170
101121330448
11525a64187
12273646100
1314b40b854
14a8cd21a0
156869b0d3
hex42d62510

1121330448 has 120 divisors (see below), whose sum is σ = 3775304000. Its totient is φ = 303512832.

The previous prime is 1121330411. The next prime is 1121330461. The reversal of 1121330448 is 8440331211.

1121330448 is a `hidden beast` number, since 1 + 1 + 213 + 3 + 0 + 448 = 666.

It is a super-2 number, since 2×11213304482 = 2514763947223761408, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10123 + ... + 48426.

Almost surely, 21121330448 is an apocalyptic number.

1121330448 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 1121330448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887652000).

1121330448 is an abundant number, since it is smaller than the sum of its proper divisors (2653973552).

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

1121330448 is a wasteful number, since it uses less digits than its factorization.

1121330448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58589 (or 58580 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1121330448 is about 33486.2725306953. The cubic root of 1121330448 is about 1038.9098685680.

Adding to 1121330448 its reverse (8440331211), we get a palindrome (9561661659).

The spelling of 1121330448 in words is "one billion, one hundred twenty-one million, three hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 19152 58549 117098 175647 234196 351294 409843 468392 526941 702588 819686 936784 1053882 1112431 1229529 1405176 1639372 2107764 2224862 2459058 2810352 3278744 3337293 3688587 4215528 4449724 4918116 6557488 6674586 7377174 7787017 8431056 8899448 9836232 10011879 13349172 14754348 15574034 17798896 19672464 20023758 23361051 26698344 29508696 31148068 40047516 46722102 53396688 59017392 62296136 70083153 80095032 93444204 124592272 140166306 160190064 186888408 280332612 373776816 560665224 1121330448