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220121000200993 is a prime number
BaseRepresentation
bin110010000011001011101010…
…000001100100101100100001
31001212101100202222022122112211
4302003023222001210230201
5212322430302022412433
62100054105205522121
764236134405150623
oct6203135201445441
91055340688278484
10220121000200993
11641568790862a1
1220830b11713341
1395a9423a37788
143c4dcadd88c13
151a6acbbaeb8cd
hexc832ea064b21

220121000200993 has 2 divisors, whose sum is σ = 220121000200994. Its totient is φ = 220121000200992.

The previous prime is 220121000200987. The next prime is 220121000201107. The reversal of 220121000200993 is 399002000121022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 215296576848144 + 4824423352849 = 14672988^2 + 2196457^2 .

It is a cyclic number.

It is not a de Polignac number, because 220121000200993 - 229 = 220120463330081 is a prime.

It is not a weakly prime, because it can be changed into another prime (220121000200093) 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 as a sum of consecutive naturals, namely, 110060500100496 + 110060500100497.

It is an arithmetic number, because the mean of its divisors is an integer number (110060500100497).

Almost surely, 2220121000200993 is an apocalyptic number.

It is an amenable number.

220121000200993 is a deficient number, since it is larger than the sum of its proper divisors (1).

220121000200993 is an equidigital number, since it uses as much as digits as its factorization.

220121000200993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 220121000200993 in words is "two hundred twenty trillion, one hundred twenty-one billion, two hundred thousand, nine hundred ninety-three".