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10010010222201 = 31110115723980039
BaseRepresentation
bin1001000110101010001100…
…0110100111111001111001
31022102221120211020020011210
42101222203012213321321
52303001000104102301
633142311334513333
72052125246002503
oct221524306477171
938387524206153
1010010010222201
11320a2488a0130
121158010205849
13577c2acb4722
142686b6792d73
151255b3b6ead6
hex91aa31a7e79

10010010222201 has 64 divisors (see below), whose sum is σ = 14859931852800. Its totient is φ = 5943301728000.

The previous prime is 10010010222197. The next prime is 10010010222209. The reversal of 10010010222201 is 10222201001001.

It is not a de Polignac number, because 10010010222201 - 22 = 10010010222197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010010222209) 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, 125024140 + ... + 125104178.

It is an arithmetic number, because the mean of its divisors is an integer number (232186435200).

Almost surely, 210010010222201 is an apocalyptic number.

10010010222201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010010222201 is a deficient number, since it is larger than the sum of its proper divisors (4849921630599).

10010010222201 is a wasteful number, since it uses less digits than its factorization.

10010010222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80550.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10010010222201 its reverse (10222201001001), we get a palindrome (20232211223202).

It can be divided in two parts, 100100 and 10222201, that added together give a palindrome (10322301).

The spelling of 10010010222201 in words is "ten trillion, ten billion, ten million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 11 33 101 157 239 303 471 717 1111 1727 2629 3333 5181 7887 15857 24139 37523 47571 72417 80039 112569 174427 240117 265529 412753 523281 796587 880429 1238259 2641287 3789823 8083939 11369469 12566123 19129321 24251817 37698369 41688053 57387963 88923329 125064159 138227353 210422531 266769987 414682059 631267593 1269178423 1932061421 3003303397 3807535269 5796184263 9009910191 13960962653 21252675631 33036337367 41882887959 63758026893 99109012101 303333643097 910000929291 3336670074067 10010010222201