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10009909919 = 101431229949
BaseRepresentation
bin10010101001010001…
…10001101010011111
3221211121102002222102
421110220301222133
5131000014104134
64333135035315
7503024554562
oct112450615237
927747362872
1010009909919
114277373529
121b3436bb3b
13c36a7a029
146ad5c24d9
153d8bb937e
hex254a31a9f

10009909919 has 8 divisors (see below), whose sum is σ = 10132516800. Its totient is φ = 9887764000.

The previous prime is 10009909907. The next prime is 10009909939. The reversal of 10009909919 is 91990990001.

10009909919 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10009909919 is a prime.

It is a super-2 number, since 2×100099099192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009909939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71444 + ... + 158505.

It is an arithmetic number, because the mean of its divisors is an integer number (1266564600).

Almost surely, 210009909919 is an apocalyptic number.

10009909919 is a deficient number, since it is larger than the sum of its proper divisors (122606881).

10009909919 is a wasteful number, since it uses less digits than its factorization.

10009909919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230481.

The product of its (nonzero) digits is 59049, while the sum is 47.

The spelling of 10009909919 in words is "ten billion, nine million, nine hundred nine thousand, nine hundred nineteen".

Divisors: 1 101 431 43531 229949 23224849 99108019 10009909919