Search a number
-
+
11120010000112 = 24131011096597369
BaseRepresentation
bin1010000111010001010000…
…1111101111011011110000
31110101001200121122100101101
42201310110033233123300
52424142240030000422
635352243450214144
72225252133305506
oct241642417573360
943331617570341
1011120010000112
1135a7a73824292
1212b7170a24354
136287c6700040
142a62d5d62676
151443cc487c27
hexa1d143ef6f0

11120010000112 has 160 divisors (see below), whose sum is σ = 23686124616000. Its totient is φ = 5026555699200.

The previous prime is 11120010000107. The next prime is 11120010000131. The reversal of 11120010000112 is 21100001002111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1509021964 + ... + 1509029332.

It is an arithmetic number, because the mean of its divisors is an integer number (148038278850).

Almost surely, 211120010000112 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 11120010000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11843062308000).

11120010000112 is an abundant number, since it is smaller than the sum of its proper divisors (12566114615888).

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

11120010000112 is a wasteful number, since it uses less digits than its factorization.

11120010000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11120010000112 its reverse (21100001002111), we get a palindrome (32220011002223).

The spelling of 11120010000112 in words is "eleven trillion, one hundred twenty billion, ten million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 52 101 104 109 202 208 218 404 436 659 808 872 1313 1318 1417 1616 1744 2626 2636 2834 5252 5272 5668 7369 8567 10504 10544 11009 11336 14738 17134 21008 22018 22672 29476 34268 44036 58952 66559 68536 71831 88072 95797 117904 133118 137072 143117 143662 176144 191594 266236 286234 287324 383188 532472 572468 574648 744269 766376 803221 865267 933803 1064944 1144936 1149296 1488538 1532752 1606442 1730534 1867606 2289872 2977076 3212884 3461068 3735212 4856171 5954152 6425768 6922136 7254931 7470424 9675497 9712342 10441873 11908304 12851536 13844272 14509862 14940848 19350994 19424684 20883746 29019724 38701988 38849368 41767492 58039448 63130223 77403976 77698736 81125321 83534984 94314103 116078896 126260446 154807952 162250642 167069968 188628206 252520892 324501284 377256412 490473271 505041784 529322639 649002568 754512824 980946542 1010083568 1054629173 1058645278 1298005136 1509025648 1961893084 2109258346 2117290556 3923786168 4218516692 4234581112 6376152523 6881194307 7847572336 8437033384 8469162224 12752305046 13762388614 16874066768 25504610092 27524777228 51009220184 53461586539 55049554456 102018440368 106923173078 110099108912 213846346156 427692692312 695000625007 855385384624 1390001250014 2780002500028 5560005000056 11120010000112