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11102332322034 = 232231931135312239
BaseRepresentation
bin1010000110001111011010…
…0100110000000011110010
31110022101001121222020220200
42201203312210300003302
52423400034033301114
635340201400220030
72224055100442452
oct241436644600362
943271047866820
1011102332322034
1135a0522182088
1212b385876a616
13626c3a1b47b5
142a54da279d62
15143be554c409
hexa18f69300f2

11102332322034 has 96 divisors (see below), whose sum is σ = 25235265968640. Its totient is φ = 3520934866944.

The previous prime is 11102332322009. The next prime is 11102332322051. The reversal of 11102332322034 is 43022323320111.

11102332322034 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 2 + 332 + 322 + 0 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11102332321989 and 11102332322007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 907121287 + ... + 907133525.

It is an arithmetic number, because the mean of its divisors is an integer number (262867353840).

Almost surely, 211102332322034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102332322034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12617632984320).

11102332322034 is an abundant number, since it is smaller than the sum of its proper divisors (14132933646606).

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

11102332322034 is a wasteful number, since it uses less digits than its factorization.

11102332322034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23816 (or 23813 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 11102332322034 its reverse (43022323320111), we get a palindrome (54124655642145).

The spelling of 11102332322034 in words is "eleven trillion, one hundred two billion, three hundred thirty-two million, three hundred twenty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 193 207 386 414 579 1158 1737 3474 4439 8878 11353 12239 13317 22706 24478 26634 34059 36717 39951 68118 73434 79902 102177 110151 204354 220302 261119 281497 522238 562994 783357 844491 1566714 1688982 2191129 2350071 2362127 2533473 4382258 4700142 4724254 5066946 6573387 7086381 13146774 14172762 19720161 21259143 39440322 42518286 50395967 54328921 100791934 108657842 138949367 151187901 162986763 277898734 302375802 325973526 416848101 453563703 488960289 833696202 907127406 977920578 1250544303 2501088606 3195835441 6391670882 9587506323 19175012646 26817227831 28762518969 53634455662 57525037938 80451683493 160903366986 241355050479 482710100958 616796240113 1233592480226 1850388720339 3700777440678 5551166161017 11102332322034