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221353312381 is a prime number
BaseRepresentation
bin1100111000100110101…
…1111000000001111101
3210011100111022100022221
43032021223320001331
512111312421444011
6245404401405341
721664225053025
oct3161153700175
9704314270287
10221353312381
118596a1a0903
1236a96939851
1317b481a9a66
14a9dc004a85
155b57e11971
hex3389af807d

221353312381 has 2 divisors, whose sum is σ = 221353312382. Its totient is φ = 221353312380.

The previous prime is 221353312283. The next prime is 221353312451. The reversal of 221353312381 is 183213353122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167501932900 + 53851379481 = 409270^2 + 232059^2 .

It is a cyclic number.

It is not a de Polignac number, because 221353312381 - 225 = 221319757949 is a prime.

It is a super-2 number, since 2×2213533123812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221353312681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110676656190 + 110676656191.

It is an arithmetic number, because the mean of its divisors is an integer number (110676656191).

Almost surely, 2221353312381 is an apocalyptic number.

It is an amenable number.

221353312381 is a deficient number, since it is larger than the sum of its proper divisors (1).

221353312381 is an equidigital number, since it uses as much as digits as its factorization.

221353312381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 25920, while the sum is 34.

The spelling of 221353312381 in words is "two hundred twenty-one billion, three hundred fifty-three million, three hundred twelve thousand, three hundred eighty-one".