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10016109 = 33231272
BaseRepresentation
bin100110001101…
…010101101101
3200211212112000
4212031111231
510031003414
6554402513
7151064325
oct46152555
920755460
1010016109
115721284
123430439
1320c8cbc
14148a285
15d2cb09
hex98d56d

10016109 has 24 divisors (see below), whose sum is σ = 15606720. Its totient is φ = 6336792.

The previous prime is 10016101. The next prime is 10016137. The reversal of 10016109 is 90161001.

10016109 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10016109 - 23 = 10016101 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10016091 and 10016100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10016101) 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 23 ways as a sum of consecutive naturals, for example, 78804 + ... + 78930.

It is an arithmetic number, because the mean of its divisors is an integer number (650280).

Almost surely, 210016109 is an apocalyptic number.

It is an amenable number.

10016109 is a deficient number, since it is larger than the sum of its proper divisors (5590611).

10016109 is an equidigital number, since it uses as much as digits as its factorization.

10016109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 10016109 is about 3164.8236917718. The cubic root of 10016109 is about 215.5590929006.

The spelling of 10016109 in words is "ten million, sixteen thousand, one hundred nine".

Divisors: 1 3 9 23 27 69 127 207 381 621 1143 2921 3429 8763 16129 26289 48387 78867 145161 370967 435483 1112901 3338703 10016109