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1130231204224 = 27312814332341
BaseRepresentation
bin10000011100100111000…
…001111000100110000000
311000001022202102001200021
4100130213001320212000
5122004203142013344
62223115425103224
7144441116503123
oct20344701704600
94001282361607
101130231204224
113a63680601a1
12163068187b14
13827710317b5
143c9bc4d83ba
151e5eea49b84
hex10727078980

1130231204224 has 128 divisors (see below), whose sum is σ = 2338922799360. Its totient is φ = 543449088000.

The previous prime is 1130231204183. The next prime is 1130231204231. The reversal of 1130231204224 is 4224021320311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482797294 + ... + 482799634.

It is an arithmetic number, because the mean of its divisors is an integer number (18272834370).

Almost surely, 21130231204224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130231204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169461399680).

1130231204224 is an abundant number, since it is smaller than the sum of its proper divisors (1208691595136).

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

1130231204224 is a wasteful number, since it uses less digits than its factorization.

1130231204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1130231204224 its reverse (4224021320311), we get a palindrome (5354252524535).

The spelling of 1130231204224 in words is "one trillion, one hundred thirty billion, two hundred thirty-one million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 281 433 496 562 866 992 1124 1732 1984 2248 2341 3464 3968 4496 4682 6928 8711 8992 9364 13423 13856 17422 17984 18728 26846 27712 34844 35968 37456 53692 55424 69688 72571 74912 107384 121673 139376 145142 149824 214768 243346 278752 290284 299648 429536 486692 557504 580568 657821 859072 973384 1013653 1115008 1161136 1315642 1718144 1946768 2027306 2322272 2631284 3771863 3893536 4054612 4644544 5262568 7543726 7787072 8109224 9289088 10525136 15087452 15574144 16218448 20392451 21050272 30174904 31423243 32436896 40784902 42100544 60349808 62846486 64873792 81569804 84201088 120699616 125692972 129747584 163139608 241399232 251385944 284836493 326279216 482798464 502771888 569672986 652558432 1005543776 1139345972 1305116864 2011087552 2278691944 2610233728 4022175104 4557383888 8829931283 9114767776 17659862566 18229535552 35319725132 36459071104 70639450264 141278900528 282557801056 565115602112 1130231204224