Search a number
-
+
42123535003 = 11371011024729
BaseRepresentation
bin100111001110110000…
…100010001010011011
311000201122212021220001
4213032300202022123
51142232111110003
631203513313431
73020601065644
oct471660421233
9130648767801
1042123535003
1116956701350
1281b7105877
133c83cc0854
1420786226cb
15116814c61d
hex9cec2229b

42123535003 has 16 divisors (see below), whose sum is σ = 47662241760. Its totient is φ = 36890208000.

The previous prime is 42123535001. The next prime is 42123535019. The reversal of 42123535003 is 30053532124.

It is a cyclic number.

It is not a de Polignac number, because 42123535003 - 21 = 42123535001 is a prime.

It is a super-2 number, since 2×421235350032 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42123535001) 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 15 ways as a sum of consecutive naturals, for example, 471258 + ... + 553471.

It is an arithmetic number, because the mean of its divisors is an integer number (2978890110).

Almost surely, 242123535003 is an apocalyptic number.

42123535003 is a deficient number, since it is larger than the sum of its proper divisors (5538706757).

42123535003 is a wasteful number, since it uses less digits than its factorization.

42123535003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024878.

The product of its (nonzero) digits is 10800, while the sum is 28.

The spelling of 42123535003 in words is "forty-two billion, one hundred twenty-three million, five hundred thirty-five thousand, three".

Divisors: 1 11 37 101 407 1111 3737 41107 1024729 11272019 37914973 103497629 417064703 1138473919 3829412273 42123535003