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42106103343 = 331559485309
BaseRepresentation
bin100111001101101110…
…000010011000101111
311000200110001200011000
4213031232002120233
51142213130301333
631202051531343
73020266654533
oct471556023057
9130613050130
1042106103343
1116947885717
1281b12b9b53
133c804c9465
1420761a5bc3
151166857713
hex9cdb8262f

42106103343 has 8 divisors (see below), whose sum is σ = 62379412400. Its totient is φ = 28070735544.

The previous prime is 42106103323. The next prime is 42106103383. The reversal of 42106103343 is 34330160124.

42106103343 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 610 + 3 + 3 + 43 = 666.

It is not a de Polignac number, because 42106103343 - 25 = 42106103311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1559485309 = 42106103343 / (4 + 2 + 1 + 0 + 6 + 1 + 0 + 3 + 3 + 4 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42106103323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 779742628 + ... + 779742681.

It is an arithmetic number, because the mean of its divisors is an integer number (7797426550).

Almost surely, 242106103343 is an apocalyptic number.

42106103343 is a deficient number, since it is larger than the sum of its proper divisors (20273309057).

42106103343 is a wasteful number, since it uses less digits than its factorization.

42106103343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559485318 (or 1559485312 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 42106103343 its reverse (34330160124), we get a palindrome (76436263467).

The spelling of 42106103343 in words is "forty-two billion, one hundred six million, one hundred three thousand, three hundred forty-three".

Divisors: 1 3 9 27 1559485309 4678455927 14035367781 42106103343