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11213000132100 = 22352134170125079
BaseRepresentation
bin1010001100101011101011…
…1000111100011000000100
31110200221201020222111110220
42203022322320330120010
52432203211013211400
635503103043344340
72235053411345154
oct243127270743004
943627636874426
1011213000132100
113633452285838
1213111a30820b0
136344c5b60090
142aa9d8018764
15146a210a97a0
hexa32bae3c604

11213000132100 has 144 divisors (see below), whose sum is σ = 35790718830720. Its totient is φ = 2692802995200.

The previous prime is 11213000132093. The next prime is 11213000132149. The reversal of 11213000132100 is 123100031211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11213000132100.

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, 34902640 + ... + 35222439.

Almost surely, 211213000132100 is an apocalyptic number.

11213000132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11213000132100 is an abundant number, since it is smaller than the sum of its proper divisors (24577718698620).

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

11213000132100 is a wasteful number, since it uses less digits than its factorization.

11213000132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70125150 (or 70125143 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11213000132100 its reverse (123100031211), we get a palindrome (11336100163311).

The spelling of 11213000132100 in words is "eleven trillion, two hundred thirteen billion, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 41 50 52 60 65 75 78 82 100 123 130 150 156 164 195 205 246 260 300 325 390 410 492 533 615 650 780 820 975 1025 1066 1230 1300 1599 1950 2050 2132 2460 2665 3075 3198 3900 4100 5330 6150 6396 7995 10660 12300 13325 15990 26650 31980 39975 53300 79950 159900 70125079 140250158 210375237 280500316 350625395 420750474 701250790 841500948 911626027 1051876185 1402501580 1753126975 1823252054 2103752370 2734878081 2875128239 3506253950 3646504108 4207504740 4558130135 5259380925 5469756162 5750256478 7012507900 8625384717 9116260270 10518761850 10939512324 11500512956 13674390405 14375641195 17250769434 18232520540 21037523700 22790650675 27348780810 28751282390 34501538868 37376667107 43126923585 45581301350 54697561620 57502564780 68371952025 71878205975 74753334214 86253847170 91162602700 112130001321 136743904050 143756411950 149506668428 172507694340 186883335535 215634617925 224260002642 273487808100 287512823900 373766671070 431269235850 448520005284 560650006605 747533342140 862538471700 934416677675 1121300013210 1868833355350 2242600026420 2803250033025 3737666710700 5606500066050 11213000132100