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202130122033129 is a prime number
BaseRepresentation
bin101101111101011000010110…
…000111110100011111101001
3222111200110011202001002010211
4231331120112013310133221
5202443144442220030004
61553521143545141121
760401263565666623
oct5575302607643751
9874613152032124
10202130122033129
115944a9a3403594
121a806208a8a7a1
1388a2a33a84214
1437cb215c67c13
151857d05988504
hexb7d6161f47e9

202130122033129 has 2 divisors, whose sum is σ = 202130122033130. Its totient is φ = 202130122033128.

The previous prime is 202130122033121. The next prime is 202130122033141. The reversal of 202130122033129 is 921330221031202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 154730711246400 + 47399410786729 = 12439080^2 + 6884723^2 .

It is a cyclic number.

It is not a de Polignac number, because 202130122033129 - 23 = 202130122033121 is a prime.

It is a super-3 number, since 3×2021301220331293 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202130122033129.

It is not a weakly prime, because it can be changed into another prime (202130122033121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101065061016564 + 101065061016565.

It is an arithmetic number, because the mean of its divisors is an integer number (101065061016565).

Almost surely, 2202130122033129 is an apocalyptic number.

It is an amenable number.

202130122033129 is a deficient number, since it is larger than the sum of its proper divisors (1).

202130122033129 is an equidigital number, since it uses as much as digits as its factorization.

202130122033129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 202130122033129 in words is "two hundred two trillion, one hundred thirty billion, one hundred twenty-two million, thirty-three thousand, one hundred twenty-nine".