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1327106624321 is a prime number
BaseRepresentation
bin10011010011111101101…
…110000000101101000001
311200212111100020122100002
4103103331232000231001
5133220403243434241
62453355300405345
7164610640116542
oct23237556005501
94625440218302
101327106624321
11471906101255
121952513a6855
13981b7bcaa0a
14483376244c9
15247c3a1c89b
hex134fdb80b41

1327106624321 has 2 divisors, whose sum is σ = 1327106624322. Its totient is φ = 1327106624320.

The previous prime is 1327106624287. The next prime is 1327106624341. The reversal of 1327106624321 is 1234266017231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1150760380225 + 176346244096 = 1072735^2 + 419936^2 .

It is a cyclic number.

It is not a de Polignac number, because 1327106624321 - 238 = 1052228717377 is a prime.

It is a super-2 number, since 2×13271066243212 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1327106624341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 663553312160 + 663553312161.

It is an arithmetic number, because the mean of its divisors is an integer number (663553312161).

Almost surely, 21327106624321 is an apocalyptic number.

It is an amenable number.

1327106624321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1327106624321 is an equidigital number, since it uses as much as digits as its factorization.

1327106624321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 1327106624321 in words is "one trillion, three hundred twenty-seven billion, one hundred six million, six hundred twenty-four thousand, three hundred twenty-one".