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10010222121009 = 31141101101971887
BaseRepresentation
bin1001000110101010111110…
…1110111101000000110001
31022102222010120221210200210
42101222233232331000301
52303001413330333014
633142344344334333
72052133431055335
oct221525756750061
938388116853623
1010010222121009
11320a34746a910
12115806b1743a9
13577c62b76936
142686d69917c5
151255c7579859
hex91aafbbd031

10010222121009 has 64 divisors (see below), whose sum is σ = 15078122680320. Its totient is φ = 5854395840000.

The previous prime is 10010222120993. The next prime is 10010222121013. The reversal of 10010222121009 is 90012122201001.

It is not a de Polignac number, because 10010222121009 - 24 = 10010222120993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010222121059) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 139213464 + ... + 139285350.

It is an arithmetic number, because the mean of its divisors is an integer number (235595666880).

Almost surely, 210010222121009 is an apocalyptic number.

It is an amenable number.

10010222121009 is a deficient number, since it is larger than the sum of its proper divisors (5067900559311).

10010222121009 is a wasteful number, since it uses less digits than its factorization.

10010222121009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73062.

The product of its (nonzero) digits is 144, while the sum is 21.

It can be divided in two parts, 100102 and 22121009, that added together give a triangular number (22221111 = T6666).

The spelling of 10010222121009 in words is "ten trillion, ten billion, two hundred twenty-two million, one hundred twenty-one thousand, nine".

Divisors: 1 3 11 33 41 101 123 303 451 1019 1111 1353 3057 3333 4141 11209 12423 33627 41779 45551 71887 102919 125337 136653 215661 308757 459569 790757 1132109 1378707 2372271 2947367 3396327 4219679 7260587 8842101 12659037 21781761 32421037 46416469 73252853 79866457 97263111 139249407 219758559 239599371 297684067 805781383 893052201 2417344149 3003366973 3274524737 7398538153 9010100919 9823574211 22195614459 33037036703 81383919683 99111110109 244151759049 303340064273 910020192819 3336740707003 10010222121009