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10000100100985 = 5294710328435011
BaseRepresentation
bin1001000110000101010001…
…1010100000101101111001
31022102000000011120220120021
42101201110122200231321
52302320201111212420
633133552122330441
72051324542240021
oct221412432405571
938360004526507
1010000100100985
113206022894405
121156105359a21
1357700bb05c87
14268016548a81
151251d3b177aa
hex918546a0b79

10000100100985 has 64 divisors (see below), whose sum is σ = 12808189255680. Its totient is φ = 7482346663680.

The previous prime is 10000100100959. The next prime is 10000100101027. The reversal of 10000100100985 is 58900100100001.

It is not a de Polignac number, because 10000100100985 - 241 = 7801076845433 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1995627130 + ... + 1995632140.

It is an arithmetic number, because the mean of its divisors is an integer number (200127957120).

Almost surely, 210000100100985 is an apocalyptic number.

It is an amenable number.

10000100100985 is a deficient number, since it is larger than the sum of its proper divisors (2808089154695).

10000100100985 is a wasteful number, since it uses less digits than its factorization.

10000100100985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8038.

The product of its (nonzero) digits is 360, while the sum is 25.

Adding to 10000100100985 its reverse (58900100100001), we get a palindrome (68900200200986).

The spelling of 10000100100985 in words is "ten trillion, one hundred million, one hundred thousand, nine hundred eighty-five".

Divisors: 1 5 29 47 103 145 235 515 1363 2843 2987 4841 5011 6815 14215 14935 24205 25055 82447 133621 140389 145319 235517 292829 412235 516133 668105 701945 726595 1177585 1464145 2580665 3875009 6829993 8492041 13762963 14246273 14967857 19375045 24258251 34149965 42460205 68814815 71231365 74839285 121291255 399125927 413141917 669574831 703489279 1467366119 1995629635 2065709585 3347874155 3517446395 7336830595 19417670099 42553617451 68966207593 97088350495 212768087255 344831037965 2000020020197 10000100100985