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10202212212201 = 331017095276707
BaseRepresentation
bin1001010001110110001100…
…1111000001110111101001
31100010022200201011221222000
42110131203033001313221
52314123112311242301
633410455342321213
72102041220652462
oct224354317016751
940108621157860
1010202212212201
113283808905a69
121189310289209
135900ab8937a9
14273b0ad49d69
1512a5b26e7786
hex947633c1de9

10202212212201 has 32 divisors (see below), whose sum is σ = 15285567734400. Its totient is φ = 6724634126400.

The previous prime is 10202212212169. The next prime is 10202212212211. The reversal of 10202212212201 is 10221221220201.

It is a happy number.

10202212212201 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 221 + 221 + 220 + 1 = 666.

It is not a de Polignac number, because 10202212212201 - 25 = 10202212212169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10202212212211) 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 31 ways as a sum of consecutive naturals, for example, 704911 + ... + 4571796.

It is an arithmetic number, because the mean of its divisors is an integer number (477673991700).

Almost surely, 210202212212201 is an apocalyptic number.

It is an amenable number.

10202212212201 is a deficient number, since it is larger than the sum of its proper divisors (5083355522199).

10202212212201 is a wasteful number, since it uses less digits than its factorization.

10202212212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277526 (or 5277520 counting only the distinct ones).

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

Adding to 10202212212201 its reverse (10221221220201), we get a palindrome (20423433432402).

The spelling of 10202212212201 in words is "ten trillion, two hundred two billion, two hundred twelve million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 9 27 101 303 709 909 2127 2727 6381 19143 71609 214827 644481 1933443 5276707 15830121 47490363 142471089 532947407 1598842221 3741185263 4796526663 11223555789 14389579989 33670667367 101012002101 377859711563 1133579134689 3400737404067 10202212212201