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1020212000117 is a prime number
BaseRepresentation
bin11101101100010010101…
…11111011010101110101
310121112100022212102012222
432312021113323111311
5113203343233000432
62100402351452125
7133464542630042
oct16661127732565
93545308772188
101020212000117
11363740093822
12145882b27045
137528986c81b
14375429561c9
151b810e0c112
hexed895fb575

1020212000117 has 2 divisors, whose sum is σ = 1020212000118. Its totient is φ = 1020212000116.

The previous prime is 1020212000099. The next prime is 1020212000173. The reversal of 1020212000117 is 7110002120201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 637643772676 + 382568227441 = 798526^2 + 618521^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020212000117 - 28 = 1020211999861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020212000095 and 1020212000104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1025212000117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510106000058 + 510106000059.

It is an arithmetic number, because the mean of its divisors is an integer number (510106000059).

Almost surely, 21020212000117 is an apocalyptic number.

It is an amenable number.

1020212000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020212000117 is an equidigital number, since it uses as much as digits as its factorization.

1020212000117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 1020212000117 its reverse (7110002120201), we get a palindrome (8130214120318).

The spelling of 1020212000117 in words is "one trillion, twenty billion, two hundred twelve million, one hundred seventeen", and thus it is an aban number.