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16123001319 = 34199049399
BaseRepresentation
bin11110000010000000…
…10111100111100111
31112121122021022220000
433001000113213213
5231004442020234
611223511512343
71110354151515
oct170100274747
945548238800
1016123001319
116924017587
12315b6886b3
13169c3c1289
14acd42d4b5
156456e0899
hex3c10179e7

16123001319 has 10 divisors (see below), whose sum is σ = 24084977400. Its totient is φ = 10748667492.

The previous prime is 16123001309. The next prime is 16123001333. The reversal of 16123001319 is 91310032161.

16123001319 is a `hidden beast` number, since 1 + 612 + 30 + 0 + 1 + 3 + 19 = 666.

16123001319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16123001319 - 24 = 16123001303 is a prime.

It is a super-2 number, since 2×161230013192 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 16123001292 and 16123001301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16123001309) 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 9 ways as a sum of consecutive naturals, for example, 99524619 + ... + 99524780.

It is an arithmetic number, because the mean of its divisors is an integer number (2408497740).

Almost surely, 216123001319 is an apocalyptic number.

16123001319 is a deficient number, since it is larger than the sum of its proper divisors (7961976081).

16123001319 is an equidigital number, since it uses as much as digits as its factorization.

16123001319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199049411 (or 199049402 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 16123001319 in words is "sixteen billion, one hundred twenty-three million, one thousand, three hundred nineteen".

Divisors: 1 3 9 27 81 199049399 597148197 1791444591 5374333773 16123001319