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100222078193 is a prime number
BaseRepresentation
bin101110101010110110…
…0111000110011110001
3100120200122112002020222
41131111230320303301
53120223323000233
6114012534542425
710145411415536
oct1352554706361
9316618462228
10100222078193
113955a8287a6
1217510207a15
1395b2827063
144bca74cd8d
1529189a5898
hex1755b38cf1

100222078193 has 2 divisors, whose sum is σ = 100222078194. Its totient is φ = 100222078192.

The previous prime is 100222078189. The next prime is 100222078207. The reversal of 100222078193 is 391870222001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57086111329 + 43135966864 = 238927^2 + 207692^2 .

It is an emirp because it is prime and its reverse (391870222001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100222078193 - 22 = 100222078189 is a prime.

It is a super-2 number, since 2×1002220781932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100222078493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111039096 + 50111039097.

It is an arithmetic number, because the mean of its divisors is an integer number (50111039097).

Almost surely, 2100222078193 is an apocalyptic number.

It is an amenable number.

100222078193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222078193 is an equidigital number, since it uses as much as digits as its factorization.

100222078193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 100222078193 in words is "one hundred billion, two hundred twenty-two million, seventy-eight thousand, one hundred ninety-three".