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212000101129 is a prime number
BaseRepresentation
bin1100010101110000110…
…0001101001100001001
3202021012122120222120101
43011130030031030021
511433134011214004
6241220321525401
721213363061405
oct3053414151411
9667178528511
10212000101129
11819aa591853
12351064a3861
1316cb74baa2b
14a391b28105
1557abc14ba4
hex315c30d309

212000101129 has 2 divisors, whose sum is σ = 212000101130. Its totient is φ = 212000101128.

The previous prime is 212000101003. The next prime is 212000101139. The reversal of 212000101129 is 921101000212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185522302729 + 26477798400 = 430723^2 + 162720^2 .

It is a cyclic number.

It is not a de Polignac number, because 212000101129 - 213 = 212000092937 is a prime.

It is not a weakly prime, because it can be changed into another prime (212000101139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106000050564 + 106000050565.

It is an arithmetic number, because the mean of its divisors is an integer number (106000050565).

Almost surely, 2212000101129 is an apocalyptic number.

It is an amenable number.

212000101129 is a deficient number, since it is larger than the sum of its proper divisors (1).

212000101129 is an equidigital number, since it uses as much as digits as its factorization.

212000101129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 212000101129 in words is "two hundred twelve billion, one hundred one thousand, one hundred twenty-nine".