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11212122021100 = 225271113112009211
BaseRepresentation
bin1010001100101000011010…
…0011001101110011101100
31110200212110001122211122021
42203022012203031303230
52432144411214133400
635502435554355524
72235022556463610
oct243120643156354
943625401584567
1011212122021100
113633041643a70
121310b98b8bba4
136343b5c5b880
142aa953559340
151469bde5371a
hexa32868cdcec

11212122021100 has 144 divisors (see below), whose sum is σ = 32667262661376. Its totient is φ = 3225865248000.

The previous prime is 11212122021073. The next prime is 11212122021157. The reversal of 11212122021100 is 112022121211.

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, 55904506 + ... + 56104705.

It is an arithmetic number, because the mean of its divisors is an integer number (226855990704).

Almost surely, 211212122021100 is an apocalyptic number.

11212122021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212122021100 is an abundant number, since it is smaller than the sum of its proper divisors (21455140640276).

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

11212122021100 is a wasteful number, since it uses less digits than its factorization.

11212122021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112009256 (or 112009249 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11212122021100 its reverse (112022121211), we get a palindrome (11324144142311).

The spelling of 11212122021100 in words is "eleven trillion, two hundred twelve billion, one hundred twenty-two million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 112009211 224018422 448036844 560046055 784064477 1120092110 1232101321 1456119743 1568128954 2240184220 2464202642 2800230275 2912239486 3136257908 3920322385 4928405284 5600460550 5824478972 6160506605 7280598715 7840644770 8624709247 10192838201 11200921100 12321013210 14561197430 15681289540 16017317173 17249418494 19601611925 20385676402 24642026420 29122394860 30802533025 32034634346 34498836988 36402993575 39203223850 40771352804 43123546235 50964191005 61605066050 64069268692 72805987150 78406447700 80086585865 86247092470 101928382010 112121220211 123210132100 145611974300 160173171730 172494184940 203856764020 215617731175 224242440422 254820955025 320346343460 400432929325 431235462350 448484880844 509641910050 560606101055 800865858650 862470924700 1019283820100 1121212202110 1601731717300 2242424404220 2803030505275 5606061010550 11212122021100