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10142319 = 31117101179
BaseRepresentation
bin100110101100…
…001001101111
3201002021122110
4212230021233
510044023234
61001215103
7152131305
oct46541157
921067573
1010142319
1157a8090
123491493
132141595
1414c0275
15d551e9
hex9ac26f

10142319 has 32 divisors (see below), whose sum is σ = 15863040. Its totient is φ = 5696000.

The previous prime is 10142317. The next prime is 10142323. The reversal of 10142319 is 91324101.

10142319 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10142319 - 21 = 10142317 is a prime.

It is a super-2 number, since 2×101423192 = 205733269395522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10142295 and 10142304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142317) 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 31 ways as a sum of consecutive naturals, for example, 56572 + ... + 56750.

It is an arithmetic number, because the mean of its divisors is an integer number (495720).

Almost surely, 210142319 is an apocalyptic number.

10142319 is a deficient number, since it is larger than the sum of its proper divisors (5720721).

10142319 is a wasteful number, since it uses less digits than its factorization.

10142319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10142319 is about 3184.7007708731. The cubic root of 10142319 is about 216.4607150121.

It can be divided in two parts, 1014 and 2319, that added together give a palindrome (3333).

The spelling of 10142319 in words is "ten million, one hundred forty-two thousand, three hundred nineteen".

Divisors: 1 3 11 17 33 51 101 179 187 303 537 561 1111 1717 1969 3043 3333 5151 5907 9129 18079 18887 33473 54237 56661 100419 198869 307343 596607 922029 3380773 10142319