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10202010022120 = 235736435750079
BaseRepresentation
bin1001010001110101011100…
…1011101111000011101000
31100010022011121201122022111
42110131113023233003220
52314122204031201440
633410423320532104
72102033214244150
oct224352713570350
940108147648274
1010202010022120
113283714767624
121189274621034
13590078a206a7
14273acc157760
1512a59eaa94ea
hex947572ef0e8

10202010022120 has 32 divisors (see below), whose sum is σ = 26233740057600. Its totient is φ = 3497832007488.

The previous prime is 10202010022111. The next prime is 10202010022121. The reversal of 10202010022120 is 2122001020201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10202010022120.

It is not an unprimeable number, because it can be changed into a prime (10202010022121) 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 7 ways as a sum of consecutive naturals, for example, 18217874760 + ... + 18217875319.

It is an arithmetic number, because the mean of its divisors is an integer number (819804376800).

Almost surely, 210202010022120 is an apocalyptic number.

10202010022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202010022120 is an abundant number, since it is smaller than the sum of its proper divisors (16031730035480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10202010022120 is a wasteful number, since it uses less digits than its factorization.

10202010022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36435750097 (or 36435750093 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10202010022120 its reverse (2122001020201), we get a palindrome (12324011042321).

The spelling of 10202010022120 in words is "ten trillion, two hundred two billion, ten million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 36435750079 72871500158 145743000316 182178750395 255050250553 291486000632 364357500790 510100501106 728715001580 1020201002212 1275251252765 1457430003160 2040402004424 2550502505530 5101005011060 10202010022120