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100109983 is a prime number
BaseRepresentation
bin1011111011110…
…00111010011111
320222101010002011
411331320322133
5201112004413
613533412051
72323630561
oct575707237
9228333064
10100109983
1151567126
122963a027
131798189c
14d41d331
158bc733d
hex5f78e9f

100109983 has 2 divisors, whose sum is σ = 100109984. Its totient is φ = 100109982.

The previous prime is 100109941. The next prime is 100110013. The reversal of 100109983 is 389901001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100109983 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100109083) 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, 50054991 + 50054992.

It is an arithmetic number, because the mean of its divisors is an integer number (50054992).

Almost surely, 2100109983 is an apocalyptic number.

100109983 is a deficient number, since it is larger than the sum of its proper divisors (1).

100109983 is an equidigital number, since it uses as much as digits as its factorization.

100109983 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 31.

The square root of 100109983 is about 10005.4976387984. The cubic root of 100109983 is about 464.3289863033.

It can be divided in two parts, 10010998 and 3, that added together give a palindrome (10011001).

The spelling of 100109983 in words is "one hundred million, one hundred nine thousand, nine hundred eighty-three".