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122083319 is a prime number
BaseRepresentation
bin1110100011011…
…01011111110111
322111201110211102
413101231133313
5222223131234
620040400315
73011456021
oct721553767
9274643742
10122083319
1162a05006
1234a7609b
131c3a6267
14122dd011
15aab7c7e
hex746d7f7

122083319 has 2 divisors, whose sum is σ = 122083320. Its totient is φ = 122083318.

The previous prime is 122083309. The next prime is 122083337. The reversal of 122083319 is 913380221.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122083319 is a prime.

It is a super-2 number, since 2×1220833192 = 29808673556111522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 122083291 and 122083300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122083309) 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, 61041659 + 61041660.

It is an arithmetic number, because the mean of its divisors is an integer number (61041660).

Almost surely, 2122083319 is an apocalyptic number.

122083319 is a deficient number, since it is larger than the sum of its proper divisors (1).

122083319 is an equidigital number, since it uses as much as digits as its factorization.

122083319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 122083319 is about 11049.1320473601. The cubic root of 122083319 is about 496.0804464881.

The spelling of 122083319 in words is "one hundred twenty-two million, eighty-three thousand, three hundred nineteen".