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221221011937 is a prime number
BaseRepresentation
bin1100111000000111001…
…1001100000111100001
3210011000021100210020111
43032001303030013201
512111030034340222
6245343314011321
721661030401322
oct3160163140741
9704007323214
10221221011937
11859015485a2
1236a5a576b41
1317b26967183
14a9c8606449
155b4b4cb777
hex3381ccc1e1

221221011937 has 2 divisors, whose sum is σ = 221221011938. Its totient is φ = 221221011936.

The previous prime is 221221011931. The next prime is 221221011959. The reversal of 221221011937 is 739110122122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211444548561 + 9776463376 = 459831^2 + 98876^2 .

It is a cyclic number.

It is not a de Polignac number, because 221221011937 - 235 = 186861273569 is a prime.

It is a super-2 number, since 2×2212210119372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221221011899 and 221221011908.

It is not a weakly prime, because it can be changed into another prime (221221011931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110610505968 + 110610505969.

It is an arithmetic number, because the mean of its divisors is an integer number (110610505969).

Almost surely, 2221221011937 is an apocalyptic number.

It is an amenable number.

221221011937 is a deficient number, since it is larger than the sum of its proper divisors (1).

221221011937 is an equidigital number, since it uses as much as digits as its factorization.

221221011937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 221221011937 in words is "two hundred twenty-one billion, two hundred twenty-one million, eleven thousand, nine hundred thirty-seven".