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10042103319 = 35956735047
BaseRepresentation
bin10010101101000111…
…00101011000010111
3221220211222201000120
421112203211120113
5131031234301234
64340245043023
7503565320103
oct112643453027
927824881016
1010042103319
114293561946
121b430b6473
13c4063c491
146b39a2903
153db928049
hex2568e5617

10042103319 has 8 divisors (see below), whose sum is σ = 13616411520. Its totient is φ = 6581265336.

The previous prime is 10042103263. The next prime is 10042103339. The reversal of 10042103319 is 91330124001.

10042103319 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 not a de Polignac number, because 10042103319 - 227 = 9907885591 is a prime.

It is a super-2 number, since 2×100421033192 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042103339) 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, 28367347 + ... + 28367700.

It is an arithmetic number, because the mean of its divisors is an integer number (1702051440).

Almost surely, 210042103319 is an apocalyptic number.

10042103319 is a deficient number, since it is larger than the sum of its proper divisors (3574308201).

10042103319 is an equidigital number, since it uses as much as digits as its factorization.

10042103319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56735109.

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 10042103319 in words is "ten billion, forty-two million, one hundred three thousand, three hundred nineteen".

Divisors: 1 3 59 177 56735047 170205141 3347367773 10042103319