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420121412129 is a prime number
BaseRepresentation
bin1100001110100010011…
…00000000001000100001
31111011101222120000101002
412013101030000020201
523340402040142004
6521000123521345
742232000040066
oct6072114001041
91434358500332
10420121412129
11152199648121
1269509989255
1330804215873
1416496650c6d
15addd14861e
hex61d1300221

420121412129 has 2 divisors, whose sum is σ = 420121412130. Its totient is φ = 420121412128.

The previous prime is 420121412089. The next prime is 420121412173. The reversal of 420121412129 is 921214121024.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 224531927104 + 195589485025 = 473848^2 + 442255^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420121412129 is a prime.

It is not a weakly prime, because it can be changed into another prime (420121414129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210060706064 + 210060706065.

It is an arithmetic number, because the mean of its divisors is an integer number (210060706065).

Almost surely, 2420121412129 is an apocalyptic number.

It is an amenable number.

420121412129 is a deficient number, since it is larger than the sum of its proper divisors (1).

420121412129 is an equidigital number, since it uses as much as digits as its factorization.

420121412129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 420121412129 in words is "four hundred twenty billion, one hundred twenty-one million, four hundred twelve thousand, one hundred twenty-nine".