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11212232312100 = 22352475231520447
BaseRepresentation
bin1010001100101000110100…
…0111111100010100100100
31110200212201202012012110010
42203022031013330110210
52432200122432441400
635502454534330220
72235025366106661
oct243121507742444
943625652165403
1011212232312100
113633098924256
121311009ab9970
13634402a66511
142aa964068a68
151469c898c450
hexa328d1fc524

11212232312100 has 144 divisors (see below), whose sum is σ = 33194323427328. Its totient is φ = 2920715948160.

The previous prime is 11212232312011. The next prime is 11212232312119. The reversal of 11212232312100 is 121323221211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6614077 + ... + 8134523.

It is an arithmetic number, because the mean of its divisors is an integer number (230516134912).

Almost surely, 211212232312100 is an apocalyptic number.

11212232312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212232312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597161713664).

11212232312100 is an abundant number, since it is smaller than the sum of its proper divisors (21982091115228).

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

11212232312100 is a wasteful number, since it uses less digits than its factorization.

11212232312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521034 (or 1521027 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11212232312100 its reverse (121323221211), we get a palindrome (11333555533311).

The spelling of 11212232312100 in words is "eleven trillion, two hundred twelve billion, two hundred thirty-two million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 523 564 705 940 1046 1175 1410 1569 2092 2350 2615 2820 3138 3525 4700 5230 6276 7050 7845 10460 13075 14100 15690 24581 26150 31380 39225 49162 52300 73743 78450 98324 122905 147486 156900 245810 294972 368715 491620 614525 737430 1229050 1474860 1520447 1843575 2458100 3040894 3687150 4561341 6081788 7374300 7602235 9122682 15204470 18245364 22806705 30408940 38011175 45613410 71461009 76022350 91226820 114033525 142922018 152044700 214383027 228067050 285844036 357305045 428766054 456134100 714610090 795193781 857532108 1071915135 1429220180 1590387562 1786525225 2143830270 2385581343 3180775124 3573050450 3975968905 4287660540 4771162686 5359575675 7146100900 7951937810 9542325372 10719151350 11927906715 15903875620 19879844525 21438302700 23855813430 37374107707 39759689050 47711626860 59639533575 74748215414 79519378100 112122323121 119279067150 149496430828 186870538535 224244646242 238558134300 373741077070 448489292484 560611615605 747482154140 934352692675 1121223231210 1868705385350 2242446462420 2803058078025 3737410770700 5606116156050 11212232312100