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120100019 = 1321722459
BaseRepresentation
bin1110010100010…
…01010010110011
322100222201020212
413022021102303
5221221200034
615530054335
72655555554
oct712112263
9270881225
10120100019
116187aa16
123427a3ab
131bb60600
1411d4432b
15a8252ce
hex72894b3

120100019 has 18 divisors (see below), whose sum is σ = 138205260. Its totient is φ = 104297856.

The previous prime is 120100003. The next prime is 120100027. The reversal of 120100019 is 910001021.

It is not a de Polignac number, because 120100019 - 24 = 120100003 is a prime.

It is a super-2 number, since 2×1201000192 = 28848029127600722, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120099976 and 120100012.

It is not an unprimeable number, because it can be changed into a prime (120100069) 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 in 17 ways as a sum of consecutive naturals, for example, 47612 + ... + 50070.

It is an arithmetic number, because the mean of its divisors is an integer number (7678070).

Almost surely, 2120100019 is an apocalyptic number.

120100019 is a deficient number, since it is larger than the sum of its proper divisors (18105241).

120100019 is a wasteful number, since it uses less digits than its factorization.

120100019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 120100019 is about 10959.0154211042. The cubic root of 120100019 is about 493.3794146246.

The spelling of 120100019 in words is "one hundred twenty million, one hundred thousand, nineteen".

Divisors: 1 13 17 169 221 289 2459 2873 3757 31967 41803 48841 415571 543439 710651 7064707 9238463 120100019