Search a number
-
+
42210240114101 is a prime number
BaseRepresentation
bin10011001100011110101100…
…10111100010110110110101
312112110021000012122020112012
421212033112113202312311
521013033032432122401
6225435041104334005
711614406046036623
oct1146172627426665
9175407005566465
1042210240114101
11124a4298142374
124898764014305
131a725407c91c7
14a5cdb5034513
154d2eba15b8bb
hex2663d65e2db5

42210240114101 has 2 divisors, whose sum is σ = 42210240114102. Its totient is φ = 42210240114100.

The previous prime is 42210240114089. The next prime is 42210240114121. The reversal of 42210240114101 is 10141104201224.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39781087200625 + 2429152913476 = 6307225^2 + 1558574^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42210240114101 is a prime.

It is a super-2 number, since 2×422102401141012 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42210240114121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21105120057050 + 21105120057051.

It is an arithmetic number, because the mean of its divisors is an integer number (21105120057051).

Almost surely, 242210240114101 is an apocalyptic number.

It is an amenable number.

42210240114101 is a deficient number, since it is larger than the sum of its proper divisors (1).

42210240114101 is an equidigital number, since it uses as much as digits as its factorization.

42210240114101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 42210240114101 its reverse (10141104201224), we get a palindrome (52351344315325).

The spelling of 42210240114101 in words is "forty-two trillion, two hundred ten billion, two hundred forty million, one hundred fourteen thousand, one hundred one".