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1121111240 = 235171978369
BaseRepresentation
bin100001011010010…
…1100110011001000
32220010120100111112
41002310230303020
54244001024430
6303125145452
736532200614
oct10264546310
92803510445
101121111240
11525924517
1227355b288
1314b362b42
14a8c76344
1568656195
hex42d2ccc8

1121111240 has 64 divisors (see below), whose sum is σ = 2684761200. Its totient is φ = 419872768.

The previous prime is 1121111239. The next prime is 1121111267. The reversal of 1121111240 is 421111211.

It can be written as a sum of positive squares in 8 ways, for example, as 1040578564 + 80532676 = 32258^2 + 8974^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129776 + ... + 138144.

Almost surely, 21121111240 is an apocalyptic number.

1121111240 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 1121111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342380600).

1121111240 is an abundant number, since it is smaller than the sum of its proper divisors (1563649960).

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

1121111240 is a wasteful number, since it uses less digits than its factorization.

1121111240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8594 (or 8590 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 1121111240 is about 33482.9992682854. Note that the first 3 decimals coincide. The cubic root of 1121111240 is about 1038.8421656007.

Adding to 1121111240 its reverse (421111211), we get a palindrome (1542222451).

The spelling of 1121111240 in words is "one billion, one hundred twenty-one million, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 197 340 394 680 788 985 1576 1970 3349 3940 6698 7880 8369 13396 16738 16745 26792 33476 33490 41845 66952 66980 83690 133960 142273 167380 284546 334760 569092 711365 1138184 1422730 1648693 2845460 3297386 5690920 6594772 8243465 13189544 16486930 28027781 32973860 56055562 65947720 112111124 140138905 224222248 280277810 560555620 1121111240