Search a number
-
+
42002130231 = 3317731916563
BaseRepresentation
bin100111000111100001…
…011010010100110111
311000102012102021212000
4213013201122110313
51142010021131411
631143455230343
73014565134115
oct470741322467
9130365367760
1042002130231
11168a4120126
1281825183b3
133c64ac43c9
14206645cab5
15115c66a956
hex9c785a537

42002130231 has 64 divisors (see below), whose sum is σ = 67148144640. Its totient is φ = 25853230080.

The previous prime is 42002130221. The next prime is 42002130239. The reversal of 42002130231 is 13203120024.

42002130231 is a `hidden beast` number, since 420 + 0 + 2 + 13 + 0 + 231 = 666.

It is not a de Polignac number, because 42002130231 - 26 = 42002130167 is a prime.

It is a super-2 number, since 2×420021302312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42002130239) 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 63 ways as a sum of consecutive naturals, for example, 6396556 + ... + 6403118.

It is an arithmetic number, because the mean of its divisors is an integer number (1049189760).

Almost surely, 242002130231 is an apocalyptic number.

42002130231 is a deficient number, since it is larger than the sum of its proper divisors (25146014409).

42002130231 is a wasteful number, since it uses less digits than its factorization.

42002130231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853 (or 6847 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 42002130231 its reverse (13203120024), we get a palindrome (55205250255).

The spelling of 42002130231 in words is "forty-two billion, two million, one hundred thirty thousand, two hundred thirty-one".

Divisors: 1 3 9 17 27 51 73 153 191 219 459 573 657 1241 1719 1971 3247 3723 5157 6563 9741 11169 13943 19689 29223 33507 41829 59067 87669 111571 125487 177201 237031 334713 376461 479099 711093 1004139 1253533 1437297 2133279 3012417 3760599 4311891 6399837 8144683 11281797 12935673 21310061 24434049 33845391 63930183 73302147 91507909 191790549 219906441 274523727 575371647 823571181 1555634453 2470713543 4666903359 14000710077 42002130231