Search a number
-
+
1112103133312 = 272310126314221
BaseRepresentation
bin10000001011101110100…
…000110010000010000000
310221022112101020122101111
4100023232200302002000
5121210041400231222
62210520525413104
7143226644443333
oct20135640620200
93838471218344
101112103133312
11399705254206
1215b64910a194
1380b4240c812
143bb7ca9061a
151dddd2e4777
hex102ee832080

1112103133312 has 128 divisors (see below), whose sum is σ = 2343776497920. Its totient is φ = 524570112000.

The previous prime is 1112103133261. The next prime is 1112103133319. The reversal of 1112103133312 is 2133313012111.

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

It is not an unprimeable number, because it can be changed into a prime (1112103133319) by changing a digit.

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, 78194362 + ... + 78208582.

It is an arithmetic number, because the mean of its divisors is an integer number (18310753890).

Almost surely, 21112103133312 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 1112103133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171888248960).

1112103133312 is an abundant number, since it is smaller than the sum of its proper divisors (1231673364608).

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

1112103133312 is a wasteful number, since it uses less digits than its factorization.

1112103133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14622 (or 14610 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1112103133312 its reverse (2133313012111), we get a palindrome (3245416145423).

The spelling of 1112103133312 in words is "one trillion, one hundred twelve billion, one hundred three million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 101 128 184 202 263 368 404 526 736 808 1052 1472 1616 2104 2323 2944 3232 4208 4646 6049 6464 8416 9292 12098 12928 14221 16832 18584 24196 26563 28442 33664 37168 48392 53126 56884 74336 96784 106252 113768 148672 193568 212504 227536 297344 327083 387136 425008 455072 610949 654166 774272 850016 910144 1221898 1308332 1436321 1700032 1820288 2443796 2616664 2872642 3400064 3740123 4887592 5233328 5745284 7480246 9775184 10466656 11490568 14960492 19550368 20933312 22981136 29920984 33035383 39100736 41866624 45962272 59841968 66070766 78201472 86022829 91924544 119683936 132141532 172045658 183849088 239367872 264283064 344091316 377752423 478735744 528566128 688182632 755504846 1057132256 1376365264 1511009692 2114264512 2752730528 3022019384 4228529024 5505461056 6044038768 8688305729 11010922112 12088077536 17376611458 24176155072 34753222916 48352310144 69506445832 139012891664 278025783328 556051566656 1112103133312