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42334202130132 = 223112128922618919
BaseRepresentation
bin10011010000000101100110…
…00101000110111011010100
312112220002222100001010021010
421220002303011012323110
521022100421221131012
6230012021452452220
711626354664555313
oct1150026305067324
9175802870033233
1042334202130132
111254191a4a7800
1248b879a77a070
131a81137795c53
14a64db464427a
154d6322d82c3c
hex2680b3146ed4

42334202130132 has 72 divisors (see below), whose sum is σ = 108660386923200. Its totient is φ = 12818593208960.

The previous prime is 42334202130119. The next prime is 42334202130139. The reversal of 42334202130132 is 23103120243324.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42334202130132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42334202130139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9437832 + ... + 13181087.

It is an arithmetic number, because the mean of its divisors is an integer number (1509172040600).

Almost surely, 242334202130132 is an apocalyptic number.

It is an amenable number.

42334202130132 is an abundant number, since it is smaller than the sum of its proper divisors (66326184793068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42334202130132 is a wasteful number, since it uses less digits than its factorization.

42334202130132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22620237 (or 22620224 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 42334202130132 its reverse (23103120243324), we get a palindrome (65437322373456).

The spelling of 42334202130132 in words is "forty-two trillion, three hundred thirty-four billion, two hundred two million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1289 1452 2578 3867 5156 7734 14179 15468 28358 42537 56716 85074 155969 170148 311938 467907 623876 935814 1871628 22618919 45237838 67856757 90475676 135713514 248808109 271427028 497616218 746424327 995232436 1492848654 2736889199 2985697308 5473778398 8210667597 10947556796 16421335194 29155786591 32842670388 58311573182 87467359773 116623146364 174934719546 320713652501 349869439092 641427305002 962140957503 1282854610004 1924281915006 3527850177511 3848563830012 7055700355022 10583550532533 14111400710044 21167101065066 42334202130132