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404331271121 is a prime number
BaseRepresentation
bin1011110001001000000…
…01011001001111010001
31102122122112121201222202
411320210001121033101
523111032301133441
6505425222212545
741132464045421
oct5704401311721
91378575551882
10404331271121
11146526509508
1266441884155
132c188a8926b
14157d950a481
15a7b6ca819b
hex5e240593d1

404331271121 has 2 divisors, whose sum is σ = 404331271122. Its totient is φ = 404331271120.

The previous prime is 404331271111. The next prime is 404331271147. The reversal of 404331271121 is 121172133404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 256075469521 + 148255801600 = 506039^2 + 385040^2 .

It is a cyclic number.

It is not a de Polignac number, because 404331271121 - 222 = 404327076817 is a prime.

It is not a weakly prime, because it can be changed into another prime (404331271111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202165635560 + 202165635561.

It is an arithmetic number, because the mean of its divisors is an integer number (202165635561).

Almost surely, 2404331271121 is an apocalyptic number.

It is an amenable number.

404331271121 is a deficient number, since it is larger than the sum of its proper divisors (1).

404331271121 is an equidigital number, since it uses as much as digits as its factorization.

404331271121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 404331271121 in words is "four hundred four billion, three hundred thirty-one million, two hundred seventy-one thousand, one hundred twenty-one".