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201011331329 is a prime number
BaseRepresentation
bin1011101100110100110…
…1011000000100000001
3201012211211021122021022
42323031031120010001
511243132400100304
6232202054235225
720344151060564
oct2731515300401
9635754248238
10201011331329
1178280724416
1232b5a355b15
1315c559c5b93
149a2c53c4db
155367142ebe
hex2ecd358101

201011331329 has 2 divisors, whose sum is σ = 201011331330. Its totient is φ = 201011331328.

The previous prime is 201011331319. The next prime is 201011331331. The reversal of 201011331329 is 923133110102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189886777600 + 11124553729 = 435760^2 + 105473^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201011331329 is a prime.

Together with 201011331331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 201011331298 and 201011331307.

It is not a weakly prime, because it can be changed into another prime (201011331319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100505665664 + 100505665665.

It is an arithmetic number, because the mean of its divisors is an integer number (100505665665).

Almost surely, 2201011331329 is an apocalyptic number.

It is an amenable number.

201011331329 is a deficient number, since it is larger than the sum of its proper divisors (1).

201011331329 is an equidigital number, since it uses as much as digits as its factorization.

201011331329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 201011331329 in words is "two hundred one billion, eleven million, three hundred thirty-one thousand, three hundred twenty-nine".