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211210202000753 is a prime number
BaseRepresentation
bin110000000001100000110101…
…000100000010110101110001
31000200211111110010102202102222
4300001200311010002311301
5210140431443203011003
62025112343255250425
762326301462156444
oct6001406504026561
91020744403382388
10211210202000753
116133081a87763a
121b831b51379a15
1390b10624c7427
143a228b218365b
1519640de67cc38
hexc01835102d71

211210202000753 has 2 divisors, whose sum is σ = 211210202000754. Its totient is φ = 211210202000752.

The previous prime is 211210202000747. The next prime is 211210202001011. The reversal of 211210202000753 is 357000202012112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195040860284209 + 16169341716544 = 13965703^2 + 4021112^2 .

It is a cyclic number.

It is not a de Polignac number, because 211210202000753 - 24 = 211210202000737 is a prime.

It is a super-3 number, since 3×2112102020007533 (a number of 44 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (211210204000753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105605101000376 + 105605101000377.

It is an arithmetic number, because the mean of its divisors is an integer number (105605101000377).

Almost surely, 2211210202000753 is an apocalyptic number.

It is an amenable number.

211210202000753 is a deficient number, since it is larger than the sum of its proper divisors (1).

211210202000753 is an equidigital number, since it uses as much as digits as its factorization.

211210202000753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 26.

Adding to 211210202000753 its reverse (357000202012112), we get a palindrome (568210404012865).

The spelling of 211210202000753 in words is "two hundred eleven trillion, two hundred ten billion, two hundred two million, seven hundred fifty-three", and thus it is an aban number.