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103222993 is a prime number
BaseRepresentation
bin1100010011100…
…00111011010001
321012020021022211
412021300323101
5202411113433
614124232121
72362244446
oct611607321
9235207284
10103222993
11532a2a65
122a69b641
13185017c3
14d9cd9cd
1590de8cd
hex6270ed1

103222993 has 2 divisors, whose sum is σ = 103222994. Its totient is φ = 103222992.

The previous prime is 103222979. The next prime is 103223017. The reversal of 103222993 is 399222301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98863249 + 4359744 = 9943^2 + 2088^2 .

It is an emirp because it is prime and its reverse (399222301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103222993 is a prime.

It is not a weakly prime, because it can be changed into another prime (103223993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51611496 + 51611497.

It is an arithmetic number, because the mean of its divisors is an integer number (51611497).

Almost surely, 2103222993 is an apocalyptic number.

It is an amenable number.

103222993 is a deficient number, since it is larger than the sum of its proper divisors (1).

103222993 is an equidigital number, since it uses as much as digits as its factorization.

103222993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 103222993 is about 10159.8717019458. The cubic root of 103222993 is about 469.0928526248.

It can be divided in two parts, 1032 and 22993, that added together give a square (24025 = 1552).

The spelling of 103222993 in words is "one hundred three million, two hundred twenty-two thousand, nine hundred ninety-three".