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11200323311232 = 273112939049801
BaseRepresentation
bin1010001011111100011101…
…0010101101011010000000
31110122201222210022021102220
42202333013102231122000
52432001230231424412
635453205115211040
72234124311216556
oct242770722553200
943581883267386
1011200323311232
113629037576680
12130a845746a80
13633255713643
142aa154577bd6
1514652d1e468c
hexa2fc74ad680

11200323311232 has 128 divisors (see below), whose sum is σ = 32566255485120. Its totient is φ = 3382453248000.

The previous prime is 11200323311201. The next prime is 11200323311249. The reversal of 11200323311232 is 23211332300211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×112003233112322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3287269 + ... + 5762532.

Almost surely, 211200323311232 is an apocalyptic number.

11200323311232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11200323311232 is an abundant number, since it is smaller than the sum of its proper divisors (21365932173888).

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

11200323311232 is a wasteful number, since it uses less digits than its factorization.

11200323311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9050122 (or 9050110 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11200323311232 its reverse (23211332300211), we get a palindrome (34411655611443).

The spelling of 11200323311232 in words is "eleven trillion, two hundred billion, three hundred twenty-three million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 293 352 384 528 586 704 879 1056 1172 1408 1758 2112 2344 3223 3516 4224 4688 6446 7032 9376 9669 12892 14064 18752 19338 25784 28128 37504 38676 51568 56256 77352 103136 112512 154704 206272 309408 412544 618816 1237632 9049801 18099602 27149403 36199204 54298806 72398408 99547811 108597612 144796816 199095622 217195224 289593632 298643433 398191244 434390448 579187264 597286866 796382488 868780896 1158374528 1194573732 1592764976 1737561792 2389147464 2651591693 3185529952 3475123584 4778294928 5303183386 6371059904 7954775079 9556589856 10606366772 12742119808 15909550158 19113179712 21212733544 29167508623 31819100316 38226359424 42425467088 58335017246 63638200632 84850934176 87502525869 116670034492 127276401264 169701868352 175005051738 233340068984 254552802528 339403736704 350010103476 466680137968 509105605056 700020206952 933360275936 1018211210112 1400040413904 1866720551872 2800080827808 3733441103744 5600161655616 11200323311232