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42202241300331 = 3272496971925603
BaseRepresentation
bin10011001100001111110011…
…00110011111011101101011
312112102111100202110101211100
421212013321212133131223
521012420142233102311
6225431235250132443
711614003611200100
oct1146077146373553
9175374322411740
1042202241300331
11124a0963005182
1248970b1281123
131a718675accc8
14a5c856998aa7
154d2b9cce7a56
hex2661f999f76b

42202241300331 has 36 divisors (see below), whose sum is σ = 70912712685672. Its totient is φ = 24115068681984.

The previous prime is 42202241300279. The next prime is 42202241300339. The reversal of 42202241300331 is 13300314220224.

42202241300331 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 2 + 24 + 1 + 300 + 331 = 666.

It is not a de Polignac number, because 42202241300331 - 26 = 42202241300267 is a prime.

It is a super-2 number, since 2×422022413003312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42202241300295 and 42202241300304.

It is not an unprimeable number, because it can be changed into a prime (42202241300339) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20953576 + ... + 22879178.

It is an arithmetic number, because the mean of its divisors is an integer number (1969797574602).

Almost surely, 242202241300331 is an apocalyptic number.

42202241300331 is a deficient number, since it is larger than the sum of its proper divisors (28710471385341).

42202241300331 is a wasteful number, since it uses less digits than its factorization.

42202241300331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975320 (or 1975310 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42202241300331 its reverse (13300314220224), we get a palindrome (55502555520555).

The spelling of 42202241300331 in words is "forty-two trillion, two hundred two billion, two hundred forty-one million, three hundred thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 49697 149091 347879 447273 1043637 1925603 2435153 3130911 5776809 7305459 13479221 17330427 21916377 40437663 94354547 121312989 283063641 849190923 95696692291 287090076873 669876846037 861270230619 2009630538111 4689137922259 6028891614333 14067413766777 42202241300331