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322414013404001 is a prime number
BaseRepresentation
bin100100101001110111101110…
…0101111010101001101100001
31120021120110220221111222212202
41021103233130233111031201
5314224412344412412001
63101414541503302545
7124624433546054231
oct11123573457251541
91507513827458782
10322414013404001
1193805019283562
12301b1bb48aaa55
1310ab96848b117c
145988cc88abcc1
152741add49a96b
hex1253bdcbd5361

322414013404001 has 2 divisors, whose sum is σ = 322414013404002. Its totient is φ = 322414013404000.

The previous prime is 322414013403949. The next prime is 322414013404013. The reversal of 322414013404001 is 100404310414223.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183195818950225 + 139218194453776 = 13534985^2 + 11799076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-322414013404001 is a prime.

It is not a weakly prime, because it can be changed into another prime (322414013404061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161207006702000 + 161207006702001.

It is an arithmetic number, because the mean of its divisors is an integer number (161207006702001).

Almost surely, 2322414013404001 is an apocalyptic number.

It is an amenable number.

322414013404001 is a deficient number, since it is larger than the sum of its proper divisors (1).

322414013404001 is an equidigital number, since it uses as much as digits as its factorization.

322414013404001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 322414013404001 its reverse (100404310414223), we get a palindrome (422818323818224).

The spelling of 322414013404001 in words is "three hundred twenty-two trillion, four hundred fourteen billion, thirteen million, four hundred four thousand, one".