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331011211301129 is a prime number
BaseRepresentation
bin100101101000011011000110…
…1101010101001000100001001
31121102000100210110002212201102
41023100312031222221010021
5321341241430043114004
63132000241243031145
7126502525251334412
oct11320661552510411
91542010713085642
10331011211301129
119651a080375997
1231160234b0b4b5
13112912b974a398
145ba50571c0809
15284056427b11e
hex12d0d8daa9109

331011211301129 has 2 divisors, whose sum is σ = 331011211301130. Its totient is φ = 331011211301128.

The previous prime is 331011211301107. The next prime is 331011211301143. The reversal of 331011211301129 is 921103112110133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 261828741541129 + 69182469760000 = 16181123^2 + 8317600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331011211301129 is a prime.

It is not a weakly prime, because it can be changed into another prime (331011211381129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165505605650564 + 165505605650565.

It is an arithmetic number, because the mean of its divisors is an integer number (165505605650565).

Almost surely, 2331011211301129 is an apocalyptic number.

It is an amenable number.

331011211301129 is a deficient number, since it is larger than the sum of its proper divisors (1).

331011211301129 is an equidigital number, since it uses as much as digits as its factorization.

331011211301129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 331011211301129 in words is "three hundred thirty-one trillion, eleven billion, two hundred eleven million, three hundred one thousand, one hundred twenty-nine".