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42124030101 = 334389407669
BaseRepresentation
bin100111001110110010…
…011011000010010101
311000201200210110001000
4213032302123002111
51142232222430401
631203532053513
73020605230246
oct471662330225
9130650713030
1042124030101
1116956a0a31a
1281b7304299
133c84134cca
142078710ccd
1511681e9186
hex9cec9b095

42124030101 has 32 divisors (see below), whose sum is σ = 64574928000. Its totient is φ = 27121336704.

The previous prime is 42124030093. The next prime is 42124030103. The reversal of 42124030101 is 10103042124.

42124030101 is a `hidden beast` number, since 421 + 240 + 3 + 0 + 1 + 0 + 1 = 666.

42124030101 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 42124030101 - 23 = 42124030093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42124030103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100506 + ... + 307163.

It is an arithmetic number, because the mean of its divisors is an integer number (2017966500).

Almost surely, 242124030101 is an apocalyptic number.

It is an amenable number.

42124030101 is a deficient number, since it is larger than the sum of its proper divisors (22450897899).

42124030101 is a wasteful number, since it uses less digits than its factorization.

42124030101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407810 (or 407804 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42124030101 its reverse (10103042124), we get a palindrome (52227072225).

The spelling of 42124030101 in words is "forty-two billion, one hundred twenty-four million, thirty thousand, one hundred one".

Divisors: 1 3 9 27 43 89 129 267 387 801 1161 2403 3827 11481 34443 103329 407669 1223007 3669021 11007063 17529767 36282541 52589301 108847623 157767903 326542869 473303709 979628607 1560149263 4680447789 14041343367 42124030101