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11022253513104 = 24317239389145289
BaseRepresentation
bin1010000001100101000110…
…0000010101100110010000
31110000201100210120021101110
42200121101200111212100
52421042033344404404
635235315305333320
72215221501005301
oct240312140254620
943021323507343
1011022253513104
11356a569838759
1212a022a497240
1361c5179487a2
142a16a0c687a8
15141aaa1b2b89
hexa0651815990

11022253513104 has 160 divisors (see below), whose sum is σ = 30353289408000. Its totient is φ = 3434617618432.

The previous prime is 11022253513091. The next prime is 11022253513127. The reversal of 11022253513104 is 40131535222011.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75791692 + ... + 75936980.

It is an arithmetic number, because the mean of its divisors is an integer number (189708058800).

Almost surely, 211022253513104 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 11022253513104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15176644704000).

11022253513104 is an abundant number, since it is smaller than the sum of its proper divisors (19331035894896).

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

11022253513104 is a wasteful number, since it uses less digits than its factorization.

11022253513104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145945 (or 145939 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 11022253513104 its reverse (40131535222011), we get a palindrome (51153788735115).

The spelling of 11022253513104 in words is "eleven trillion, twenty-two billion, two hundred fifty-three million, five hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 239 272 389 408 478 717 778 816 956 1167 1434 1556 1912 2334 2868 3112 3824 4063 4668 5736 6224 6613 8126 9336 11472 12189 13226 16252 18672 19839 24378 26452 32504 39678 48756 52904 65008 79356 92971 97512 105808 145289 158712 185942 195024 278913 290578 317424 371884 435867 557826 581156 743768 871734 1115652 1162312 1487536 1580507 1743468 2231304 2324624 2469913 3161014 3486936 4462608 4741521 4939826 6322028 6973872 7409739 9483042 9879652 12644056 14819478 18966084 19759304 25288112 29638956 34724071 37932168 39518608 56517421 59277912 69448142 75864336 104172213 113034842 118555824 138896284 169552263 208344426 226069684 277792568 339104526 416688852 452139368 555585136 590309207 678209052 833377704 904278736 960796157 1180618414 1356418104 1666755408 1770927621 1921592314 2361236828 2712836208 2882388471 3541855242 3843184628 4722473656 5764776942 7083710484 7686369256 9444947312 11529553884 13507663619 14167420968 15372738512 23059107768 27015327238 28334841936 40522990857 46118215536 54030654476 81045981714 108061308952 162091963428 216122617904 229630281523 324183926856 459260563046 648367853712 688890844569 918521126092 1377781689138 1837042252184 2755563378276 3674084504368 5511126756552 11022253513104