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20101200120092 = 22713177334431673
BaseRepresentation
bin1001001001000001011001…
…11001001000100100011100
32122011122201012100021011202
410210200230321020210130
510113314224212320332
6110430210331535032
74143156322605530
oct444405471104434
978148635307152
1020101200120092
11644a964481123
1223078b72ba478
13b2a6c562a4c0
144d6c9083dbc0
1524cd29631a62
hex12482ce4891c

20101200120092 has 96 divisors (see below), whose sum is σ = 45904201080192. Its totient is φ = 7474138914816.

The previous prime is 20101200120061. The next prime is 20101200120103. The reversal of 20101200120092 is 29002100210102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2319968 + ... + 6751640.

It is an arithmetic number, because the mean of its divisors is an integer number (478168761252).

Almost surely, 220101200120092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101200120092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22952100540096).

20101200120092 is an abundant number, since it is smaller than the sum of its proper divisors (25803000960100).

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

20101200120092 is a wasteful number, since it uses less digits than its factorization.

20101200120092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432447 (or 4432445 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 20101200120092 its reverse (29002100210102), we get a palindrome (49103300330194).

The spelling of 20101200120092 in words is "twenty trillion, one hundred one billion, two hundred million, one hundred twenty thousand, ninety-two".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 442 476 733 884 1466 1547 2932 3094 5131 6188 9529 10262 12461 19058 20524 24922 38116 49844 66703 87227 133406 161993 174454 266812 323986 348908 647972 1133951 2267902 4431673 4535804 8863346 17726692 31021711 57611749 62043422 75338441 115223498 124086844 150676882 230446996 301353764 403282243 527369087 806564486 979399733 1054738174 1613128972 1958799466 2109476348 3248416309 3917598932 6496832618 6855798131 12993665236 13711596262 22738914163 27423192524 42229412017 45477828326 55223077253 84458824034 90955656652 110446154506 168917648068 220892309012 295605884119 386561540771 591211768238 717900004289 773123081542 1182423536476 1435800008578 1546246163084 2871600017156 5025300030023 10050600060046 20101200120092