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1020212200120 = 235171500312059
BaseRepresentation
bin11101101100010010110…
…00101100001010111000
310121112100100020120120111
432312021120230022320
5113203343310400440
62100402400034104
7133464544422121
oct16661130541270
93545310216514
101020212200120
11363740210013
12145883002934
137528990c879
14375429a9048
151b810e4b4ea
hexed8962c2b8

1020212200120 has 32 divisors (see below), whose sum is σ = 2430505537200. Its totient is φ = 384079886848.

The previous prime is 1020212200079. The next prime is 1020212200123. The reversal of 1020212200120 is 210022120201.

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 1020212200120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020212200123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 750155350 + ... + 750156709.

Almost surely, 21020212200120 is an apocalyptic number.

1020212200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020212200120 is an abundant number, since it is smaller than the sum of its proper divisors (1410293337080).

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

1020212200120 is a wasteful number, since it uses less digits than its factorization.

1020212200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500312087 (or 1500312083 counting only the distinct ones).

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

Adding to 1020212200120 its reverse (210022120201), we get a palindrome (1230234320321).

The spelling of 1020212200120 in words is "one trillion, twenty billion, two hundred twelve million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1500312059 3000624118 6001248236 7501560295 12002496472 15003120590 25505305003 30006241180 51010610006 60012482360 102021220012 127526525015 204042440024 255053050030 510106100060 1020212200120