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10222202121201 = 337238926421947
BaseRepresentation
bin1001010011000000101010…
…1110011110101111110001
31100012020021211201112222000
42110300022232132233301
52314440032220334301
633424003111404213
72103346461250530
oct224601256365761
940166254645860
1010222202121201
113291236672514
12119116a983669
13591c46147305
14274a85b66317
1512ad8261d786
hex94c0ab9ebf1

10222202121201 has 64 divisors (see below), whose sum is σ = 18262850457600. Its totient is φ = 5524511845248.

The previous prime is 10222202121199. The next prime is 10222202121211. The reversal of 10222202121201 is 10212120222201.

It is a happy number.

10222202121201 is a `hidden beast` number, since 10 + 22 + 220 + 212 + 1 + 201 = 666.

It is not a de Polignac number, because 10222202121201 - 21 = 10222202121199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10222202121211) 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, 12824091 + ... + 13597856.

It is an arithmetic number, because the mean of its divisors is an integer number (285357038400).

Almost surely, 210222202121201 is an apocalyptic number.

It is an amenable number.

10222202121201 is a deficient number, since it is larger than the sum of its proper divisors (8040648336399).

10222202121201 is a wasteful number, since it uses less digits than its factorization.

10222202121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26422075 (or 26422069 counting only the distinct ones).

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

Adding to 10222202121201 its reverse (10212120222201), we get a palindrome (20434322343402).

The spelling of 10222202121201 in words is "ten trillion, two hundred twenty-two billion, two hundred two million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 7 9 21 23 27 63 69 89 161 189 207 267 483 621 623 801 1449 1869 2047 2403 4347 5607 6141 14329 16821 18423 42987 55269 128961 386883 26421947 79265841 184953629 237797523 554860887 607704781 713392569 1664582661 1823114343 2351553283 4253933467 4993747983 5469343029 7054659849 12761800401 16408029087 16460872981 21163979547 38285401203 49382618943 54085725509 63491938641 114856203609 148147856829 162257176527 378600078563 444443570487 486771529581 1135800235689 1460314588743 3407400707067 10222202121201