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11201111110112 = 2572111968732987
BaseRepresentation
bin1010001011111111011000…
…1111111011000111100000
31110122211000200200121100012
42202333312033323013200
52432004333421010422
635453415220344052
72234152655335400
oct242776617730740
943584020617305
1011201111110112
113629401233630
12130aa25545028
1363334c9b3b21
142aa1cb048800
1514657745b4e2
hexa2ff63fb1e0

11201111110112 has 144 divisors (see below), whose sum is σ = 27986864024448. Its totient is φ = 4363715301120.

The previous prime is 11201111110087. The next prime is 11201111110169. The reversal of 11201111110112 is 21101111110211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339544883 + ... + 339577869.

It is an arithmetic number, because the mean of its divisors is an integer number (194353222392).

Almost surely, 211201111110112 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 11201111110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13993432012224).

11201111110112 is an abundant number, since it is smaller than the sum of its proper divisors (16785752914336).

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

11201111110112 is a wasteful number, since it uses less digits than its factorization.

11201111110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52709 (or 52694 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 11201111110112 its reverse (21101111110211), we get a palindrome (32302222220323).

Subtracting 11201111110112 from its reverse (21101111110211), we obtain a palindrome (9900000000099).

The spelling of 11201111110112 in words is "eleven trillion, two hundred one billion, one hundred eleven million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 4312 8624 17248 19687 32987 39374 65974 78748 131948 137809 157496 216557 230909 263896 275618 314992 362857 433114 461818 527792 551236 629984 725714 866228 923636 964663 1055584 1102472 1451428 1515899 1616363 1732456 1847272 1929326 2204944 2539999 2902856 3031798 3232726 3464912 3694544 3858652 4409888 5079998 5805712 6063596 6465452 6929824 7389088 7717304 10159996 10611293 11611424 12127192 12930904 15434608 17779993 20319992 21222586 24254384 25861808 30869216 35559986 40639984 42445172 48508768 51723616 71119972 81279968 84890344 142239944 169780688 284479888 339561376 568959776 649415069 1298830138 2597660276 4545905483 5195320552 7143565759 9091810966 10390641104 14287131518 18183621932 20781282208 28574263036 31821338381 36367243864 50004960313 57148526072 63642676762 72734487728 100009920626 114297052144 127285353524 145468975456 200019841252 228594104288 254570707048 350034722191 400039682504 509141414096 700069444382 800079365008 1018282828192 1400138888764 1600158730016 2800277777528 5600555555056 11201111110112