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10222212210201 = 329735809326993
BaseRepresentation
bin1001010011000000101101…
…0100111101111000011001
31100012020022112201010110200
42110300023110331320121
52314440042311211301
633424004111532413
72103346643100525
oct224601324757031
940166275633420
1010222212210201
113291241333532
12119117222a109
13591c4826a534
14274a87230d85
1512ad83462c86
hex94c0b53de19

10222212210201 has 24 divisors (see below), whose sum is σ = 14918100648360. Its totient is φ = 6744343412736.

The previous prime is 10222212210181. The next prime is 10222212210227. The reversal of 10222212210201 is 10201221222201.

It is a happy number.

10222212210201 is a `hidden beast` number, since 1 + 0 + 22 + 221 + 221 + 0 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 709157673225 + 9513054536976 = 842115^2 + 3084324^2 .

It is not a de Polignac number, because 10222212210201 - 219 = 10222211685913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10222212210281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31097761 + ... + 31424753.

It is an arithmetic number, because the mean of its divisors is an integer number (621587527015).

Almost surely, 210222212210201 is an apocalyptic number.

It is an amenable number.

10222212210201 is a deficient number, since it is larger than the sum of its proper divisors (4695888438159).

10222212210201 is a wasteful number, since it uses less digits than its factorization.

10222212210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362905 (or 362902 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222212210201 its reverse (10201221222201), we get a palindrome (20423433432402).

The spelling of 10222212210201 in words is "ten trillion, two hundred twenty-two billion, two hundred twelve million, two hundred ten thousand, two hundred one".

Divisors: 1 3 9 97 291 873 35809 107427 322281 326993 980979 2942937 3473473 10420419 31261257 31718321 95154963 285464889 11709292337 35127877011 105383631033 1135801356689 3407404070067 10222212210201