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1121000244 = 2237213532767
BaseRepresentation
bin100001011010001…
…0001101100110100
32220010100201020120
41002310101230310
54243434001434
6303122531540
736531226200
oct10264215464
92803321216
101121000244
11525859091
12273506bb0
1314b324470
14a8c47b00
1568633349
hex42d11b34

1121000244 has 144 divisors (see below), whose sum is σ = 3339802368. Its totient is φ = 289965312.

The previous prime is 1121000219. The next prime is 1121000263. The reversal of 1121000244 is 4420001211.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 403749 + ... + 406515.

It is an arithmetic number, because the mean of its divisors is an integer number (23193072).

Almost surely, 21121000244 is an apocalyptic number.

1121000244 is a gapful number since it is divisible by the number (14) 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 1121000244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669901184).

1121000244 is an abundant number, since it is smaller than the sum of its proper divisors (2218802124).

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

1121000244 is a wasteful number, since it uses less digits than its factorization.

1121000244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1121000244 is about 33481.3417293871. The cubic root of 1121000244 is about 1038.8078808284.

Adding to 1121000244 its reverse (4420001211), we get a palindrome (5541001455).

The spelling of 1121000244 in words is "one billion, one hundred twenty-one million, two hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 53 78 84 91 98 106 147 156 159 182 196 212 273 294 318 364 371 546 588 636 637 689 742 1092 1113 1274 1378 1484 1911 2067 2226 2548 2597 2756 2767 3822 4134 4452 4823 5194 5534 7644 7791 8268 8301 9646 10388 11068 14469 15582 16602 19292 19369 28938 31164 33204 33761 35971 38738 57876 58107 67522 71942 77476 101283 107913 116214 135044 135583 143884 146651 202566 215826 232428 251797 271166 293302 405132 406749 431652 439953 503594 542332 586604 755391 813498 879906 1007188 1026557 1510782 1626996 1759812 1762579 1906463 2053114 3021564 3079671 3525158 3812926 4106228 5287737 5719389 6159342 7050316 7185899 7625852 10575474 11438778 12318684 13345241 14371798 21150948 21557697 22877556 26690482 28743596 40035723 43115394 53380964 80071446 86230788 93416687 160142892 186833374 280250061 373666748 560500122 1121000244