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223100122057 is a prime number
BaseRepresentation
bin1100111111000111001…
…1011011001111001001
3210022212020020110201121
43033301303123033021
512123402112401212
6250254001515241
722055425514431
oct3176163331711
9708766213647
10223100122057
118668622586a
12372a3942b21
1318066065557
14ab25dd32c1
155c0b45ed07
hex33f1cdb3c9

223100122057 has 2 divisors, whose sum is σ = 223100122058. Its totient is φ = 223100122056.

The previous prime is 223100122009. The next prime is 223100122079. The reversal of 223100122057 is 750221001322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197968044096 + 25132077961 = 444936^2 + 158531^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223100122057 is a prime.

It is a super-3 number, since 3×2231001220573 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (223100122097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111550061028 + 111550061029.

It is an arithmetic number, because the mean of its divisors is an integer number (111550061029).

Almost surely, 2223100122057 is an apocalyptic number.

It is an amenable number.

223100122057 is a deficient number, since it is larger than the sum of its proper divisors (1).

223100122057 is an equidigital number, since it uses as much as digits as its factorization.

223100122057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 25.

Adding to 223100122057 its reverse (750221001322), we get a palindrome (973321123379).

The spelling of 223100122057 in words is "two hundred twenty-three billion, one hundred million, one hundred twenty-two thousand, fifty-seven".