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10012222012100 = 22527112944837537
BaseRepresentation
bin1001000110110010011011…
…1011111011101011000100
31022110011021222002210112012
42101230212323323223010
52303020012313341400
633143315025113352
72052234123624530
oct221544673735304
938404258083465
1010012222012100
113210183342670
121158528a88858
135781c12b3549
1426884641cbc0
15125692e19d35
hex91b26efbac4

10012222012100 has 144 divisors (see below), whose sum is σ = 28021667748480. Its totient is φ = 3013082419200.

The previous prime is 10012222012057. The next prime is 10012222012171. The reversal of 10012222012100 is 121022221001.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 22195469 + ... + 22642068.

It is an arithmetic number, because the mean of its divisors is an integer number (194594914920).

Almost surely, 210012222012100 is an apocalyptic number.

10012222012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012222012100 is an abundant number, since it is smaller than the sum of its proper divisors (18009445736380).

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

10012222012100 is a wasteful number, since it uses less digits than its factorization.

10012222012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44837598 (or 44837591 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10012222012100 its reverse (121022221001), we get a palindrome (10133244233101).

The spelling of 10012222012100 in words is "ten trillion, twelve billion, two hundred twenty-two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 29 35 44 50 55 58 70 77 100 110 116 140 145 154 175 203 220 275 290 308 319 350 385 406 550 580 638 700 725 770 812 1015 1100 1276 1450 1540 1595 1925 2030 2233 2900 3190 3850 4060 4466 5075 6380 7700 7975 8932 10150 11165 15950 20300 22330 31900 44660 55825 111650 223300 44837537 89675074 179350148 224187685 313862759 448375370 493212907 627725518 896750740 986425814 1120938425 1255451036 1300288573 1569313795 1972851628 2241876850 2466064535 2600577146 3138627590 3452490349 4483753700 4932129070 5201154292 6277255180 6501442865 6904980698 7846568975 9102020011 9864258140 12330322675 13002885730 13809961396 14303174303 15693137950 17262451745 18204040022 24660645350 26005771460 28606348606 31386275900 32507214325 34524903490 36408080044 45510100055 49321290700 57212697212 65014428650 69049806980 71515871515 86312258725 91020200110 100122220121 130028857300 143031743030 172624517450 182040400220 200244440242 227550500275 286063486060 345249034900 357579357575 400488880484 455101000550 500611100605 715158715150 910202001100 1001222201210 1430317430300 2002444402420 2503055503025 5006111006050 10012222012100