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20100100111112 = 2371994372001809
BaseRepresentation
bin1001001000111111010110…
…10100111011101100001000
32122011112212112111000112102
410210133223110323230020
510113310001112023422
6110425505234532532
74143120134644340
oct444375324735410
978145775430472
1020100100111112
11644a44a56009a
12230764aa37148
13b2a57b775708
144d6bc86dbd20
1524ccb2c98192
hex1247eb53bb08

20100100111112 has 64 divisors (see below), whose sum is σ = 45343398672000. Its totient is φ = 8160074044416.

The previous prime is 20100100111103. The next prime is 20100100111181. The reversal of 20100100111112 is 21111100100102.

It is a junction number, because it is equal to n+sod(n) for n = 20100100111093 and 20100100111102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9040064 + ... + 11041872.

It is an arithmetic number, because the mean of its divisors is an integer number (708490604250).

Almost surely, 220100100111112 is an apocalyptic number.

It is an amenable number.

20100100111112 is an abundant number, since it is smaller than the sum of its proper divisors (25243298560888).

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

20100100111112 is a wasteful number, since it uses less digits than its factorization.

20100100111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011278 (or 2011274 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 20100100111112 its reverse (21111100100102), we get a palindrome (41211200211214).

The spelling of 20100100111112 in words is "twenty trillion, one hundred billion, one hundred million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 9437 18874 37748 66059 75496 132118 179303 264236 358606 528472 717212 1255121 1434424 2001809 2510242 4003618 5020484 8007236 10040968 14012663 16014472 28025326 38034371 56050652 76068742 112101304 152137484 266240597 304274968 532481194 1064962388 2129924776 18891071533 37782143066 75564286132 132237500731 151128572264 264475001462 358930359127 528950002924 717860718254 1057900005848 1435721436508 2512512513889 2871442873016 5025025027778 10050050055556 20100100111112