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221001113933 is a prime number
BaseRepresentation
bin1100110111010010110…
…0010110000101001101
3210010102221120210212222
43031310230112011031
512110102241121213
6245305420505125
721652420321265
oct3156454260515
9703387523788
10221001113933
11857a9404a06
12369b89ab1a5
1317ac0234002
14a9a73247a5
155b37041808
hex3374b1614d

221001113933 has 2 divisors, whose sum is σ = 221001113934. Its totient is φ = 221001113932.

The previous prime is 221001113843. The next prime is 221001113939. The reversal of 221001113933 is 339311100122.

221001113933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220353258724 + 647855209 = 469418^2 + 25453^2 .

It is a cyclic number.

It is not a de Polignac number, because 221001113933 - 216 = 221001048397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221001113939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500556966 + 110500556967.

It is an arithmetic number, because the mean of its divisors is an integer number (110500556967).

Almost surely, 2221001113933 is an apocalyptic number.

It is an amenable number.

221001113933 is a deficient number, since it is larger than the sum of its proper divisors (1).

221001113933 is an equidigital number, since it uses as much as digits as its factorization.

221001113933 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 221001113933 in words is "two hundred twenty-one billion, one million, one hundred thirteen thousand, nine hundred thirty-three".