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221540332129 is a prime number
BaseRepresentation
bin1100111001010011010…
…1010011001001100001
3210011211112012221012021
43032110311103021201
512112203311112004
6245435122101441
722001655516064
oct3162465231141
9704745187167
10221540332129
1185a55818586
1236b294aa881
1317b77b6ab2c
14aa18ba88db
155b69554d54
hex3394d53261

221540332129 has 2 divisors, whose sum is σ = 221540332130. Its totient is φ = 221540332128.

The previous prime is 221540332109. The next prime is 221540332147. The reversal of 221540332129 is 921233045122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115409678400 + 106130653729 = 339720^2 + 325777^2 .

It is a cyclic number.

It is not a de Polignac number, because 221540332129 - 215 = 221540299361 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221540332094 and 221540332103.

It is not a weakly prime, because it can be changed into another prime (221540332109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110770166064 + 110770166065.

It is an arithmetic number, because the mean of its divisors is an integer number (110770166065).

Almost surely, 2221540332129 is an apocalyptic number.

It is an amenable number.

221540332129 is a deficient number, since it is larger than the sum of its proper divisors (1).

221540332129 is an equidigital number, since it uses as much as digits as its factorization.

221540332129 is an evil number, because the sum of its binary digits is even.

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

The spelling of 221540332129 in words is "two hundred twenty-one billion, five hundred forty million, three hundred thirty-two thousand, one hundred twenty-nine".