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11010212201100 = 22352738531360747
BaseRepresentation
bin1010000000111000001111…
…0010011000001010001100
31102222120021121201020121210
42200032003302120022030
52420342403310413400
635230004402254420
72214314215360350
oct240160362301214
942876247636553
1011010212201100
11356544a82a832
121299a29957410
1361b34907b1b8
142a0c7b975460
15141602ed1950
hexa0383c9828c

11010212201100 has 144 divisors (see below), whose sum is σ = 36416577467648. Its totient is φ = 2515964924160.

The previous prime is 11010212201081. The next prime is 11010212201117. The reversal of 11010212201100 is 110221201011.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 7410927 + ... + 8771673.

Almost surely, 211010212201100 is an apocalyptic number.

11010212201100 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 11010212201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18208288733824).

11010212201100 is an abundant number, since it is smaller than the sum of its proper divisors (25406365266548).

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

11010212201100 is a wasteful number, since it uses less digits than its factorization.

11010212201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364624 (or 1364617 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11010212201100 its reverse (110221201011), we get a palindrome (11120433402111).

The spelling of 11010212201100 in words is "eleven trillion, ten billion, two hundred twelve million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 3853 7706 11559 15412 19265 23118 26971 38530 46236 53942 57795 77060 80913 96325 107884 115590 134855 161826 192650 231180 269710 288975 323652 385300 404565 539420 577950 674275 809130 1155900 1348550 1360747 1618260 2022825 2697100 2721494 4045650 4082241 5442988 6803735 8091300 8164482 9525229 13607470 16328964 19050458 20411205 27214940 28575687 34018675 38100916 40822410 47626145 57151374 68037350 81644820 95252290 102056025 114302748 136074700 142878435 190504580 204112050 238130725 285756870 408224100 476261450 571513740 714392175 952522900 1428784350 2857568700 5242958191 10485916382 15728874573 20971832764 26214790955 31457749146 36700707337 52429581910 62915498292 73401414674 78644372865 104859163820 110102122011 131073954775 146802829348 157288745730 183503536685 220204244022 262147909550 314577491460 367007073370 393221864325 440408488044 524295819100 550510610055 734014146740 786443728650 917517683425 1101021220110 1572887457300 1835035366850 2202042440220 2752553050275 3670070733700 5505106100550 11010212201100