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100749031 is a prime number
BaseRepresentation
bin1100000000101…
…00111011100111
321000120120200121
412000110323213
5201242432111
613555222411
72332231645
oct600247347
9230516617
10100749031
1151963269
12298a7a07
1317b46716
14d548195
158ca1871
hex6014ee7

100749031 has 2 divisors, whose sum is σ = 100749032. Its totient is φ = 100749030.

The previous prime is 100749023. The next prime is 100749041. The reversal of 100749031 is 130947001.

It is a weak prime.

It is an emirp because it is prime and its reverse (130947001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100749031 - 23 = 100749023 is a prime.

It is a super-2 number, since 2×1007490312 = 20300734494877922, which contains 22 as substring.

It is equal to p5802037 and since 100749031 and 5802037 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 100748987 and 100749005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100749041) 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, 50374515 + 50374516.

It is an arithmetic number, because the mean of its divisors is an integer number (50374516).

Almost surely, 2100749031 is an apocalyptic number.

100749031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100749031 is an equidigital number, since it uses as much as digits as its factorization.

100749031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 100749031 is about 10037.3816804982. The cubic root of 100749031 is about 465.3148998157.

The spelling of 100749031 in words is "one hundred million, seven hundred forty-nine thousand, thirty-one".