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126601006013 is a prime number
BaseRepresentation
bin111010111101000000…
…0100000101110111101
3110002210001010110102122
41311322000200232331
54033234324143023
6134054254532325
712101201536616
oct1657200405675
9402701113378
10126601006013
1149766a70699
12206525070a5
13bc279418a1
1461adcc0c0d
15345e7592c8
hex1d7a020bbd

126601006013 has 2 divisors, whose sum is σ = 126601006014. Its totient is φ = 126601006012.

The previous prime is 126601006001. The next prime is 126601006033. The reversal of 126601006013 is 310600106621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125172317209 + 1428688804 = 353797^2 + 37798^2 .

It is a cyclic number.

It is not a de Polignac number, because 126601006013 - 28 = 126601005757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (126601006033) 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, 63300503006 + 63300503007.

It is an arithmetic number, because the mean of its divisors is an integer number (63300503007).

Almost surely, 2126601006013 is an apocalyptic number.

It is an amenable number.

126601006013 is a deficient number, since it is larger than the sum of its proper divisors (1).

126601006013 is an equidigital number, since it uses as much as digits as its factorization.

126601006013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 126601006013 in words is "one hundred twenty-six billion, six hundred one million, six thousand, thirteen".