Search a number
-
+
42136101 = 3272923063
BaseRepresentation
bin1010000010111…
…1001000100101
32221021201212100
42200233020211
541241323401
64103042313
71021102530
oct240571045
987251770
1042136101
112186a527
1212140399
138963c07
14584ba17
153a74b86
hex282f225

42136101 has 24 divisors (see below), whose sum is σ = 71959680. Its totient is φ = 23246496.

The previous prime is 42136079. The next prime is 42136117. The reversal of 42136101 is 10163124.

It is a happy number.

42136101 is a `hidden beast` number, since 42 + 13 + 610 + 1 = 666.

It is not a de Polignac number, because 42136101 - 213 = 42127909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42136141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9705 + ... + 13358.

It is an arithmetic number, because the mean of its divisors is an integer number (2998320).

Almost surely, 242136101 is an apocalyptic number.

It is an amenable number.

42136101 is a deficient number, since it is larger than the sum of its proper divisors (29823579).

42136101 is a wasteful number, since it uses less digits than its factorization.

42136101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23105 (or 23102 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 42136101 is about 6491.2326256267. The cubic root of 42136101 is about 347.9777284597.

Adding to 42136101 its reverse (10163124), we get a palindrome (52299225).

The spelling of 42136101 in words is "forty-two million, one hundred thirty-six thousand, one hundred one".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 23063 69189 161441 207567 484323 668827 1452969 2006481 4681789 6019443 14045367 42136101