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11234422123104 = 253795572659483
BaseRepresentation
bin1010001101111011011110…
…1111010110101001100000
31110210000000012020101200010
42203132313233112221200
52433031044030414404
635521004451124520
72236442311305345
oct243366757265140
943700005211603
1011234422123104
113641545453734
1213153812a3740
1363652b015bbb
142aba6b0d87cc
15147376ab1189
hexa37b7bd6a60

11234422123104 has 96 divisors (see below), whose sum is σ = 29917280171520. Its totient is φ = 3690765292032.

The previous prime is 11234422123037. The next prime is 11234422123129. The reversal of 11234422123104 is 40132122443211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 2894547 + ... + 5554029.

It is an arithmetic number, because the mean of its divisors is an integer number (311638335120).

Almost surely, 211234422123104 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 11234422123104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14958640085760).

11234422123104 is an abundant number, since it is smaller than the sum of its proper divisors (18682858048416).

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

11234422123104 is a wasteful number, since it uses less digits than its factorization.

11234422123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660132 (or 2660124 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11234422123104 its reverse (40132122443211), we get a palindrome (51366544566315).

The spelling of 11234422123104 in words is "eleven trillion, two hundred thirty-four billion, four hundred twenty-two million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 557 632 948 1114 1264 1671 1896 2228 2528 3342 3792 4456 6684 7584 8912 13368 17824 26736 44003 53472 88006 132009 176012 264018 352024 528036 704048 1056072 1408096 2112144 2659483 4224288 5318966 7978449 10637932 15956898 21275864 31913796 42551728 63827592 85103456 127655184 210099157 255310368 420198314 630297471 840396628 1260594942 1481332031 1680793256 2521189884 2962664062 3361586512 4443996093 5042379768 5925328124 6723173024 8887992186 10084759536 11850656248 17775984372 20169519072 23701312496 35551968744 47402624992 71103937488 117025230449 142207874976 234050460898 351075691347 468100921796 702151382694 936201843592 1404302765388 1872403687184 2808605530776 3744807374368 5617211061552 11234422123104