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42322111114201 = 29711512414091381
BaseRepresentation
bin10011001111101111000100…
…11001100010101111011001
312112211221202200122212112021
421213313202121202233121
521021401140421123301
6230002302012214441
711625446236615102
oct1147674231425731
9175757680585467
1042322111114201
1112537785430556
1248b638546a421
131a7cc5b814c59
14a645888d33a9
154d5d666348a1
hex267de2662bd9

42322111114201 has 64 divisors (see below), whose sum is σ = 45019908172800. Its totient is φ = 39728102400000.

The previous prime is 42322111114187. The next prime is 42322111114301. The reversal of 42322111114201 is 10241111122324.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42322111114201 is a prime.

It is a super-2 number, since 2×423221111142012 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42322111114001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30645988531 + ... + 30645989911.

It is an arithmetic number, because the mean of its divisors is an integer number (703436065200).

Almost surely, 242322111114201 is an apocalyptic number.

It is an amenable number.

42322111114201 is a deficient number, since it is larger than the sum of its proper divisors (2697797058599).

42322111114201 is a wasteful number, since it uses less digits than its factorization.

42322111114201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 42322111114201 its reverse (10241111122324), we get a palindrome (52563222236525).

The spelling of 42322111114201 in words is "forty-two trillion, three hundred twenty-two billion, one hundred eleven million, one hundred fourteen thousand, two hundred one".

Divisors: 1 29 71 151 241 409 1381 2059 4379 6989 10721 11861 17111 29039 36391 40049 61759 98051 98569 208531 310909 332821 496219 564829 842131 1055339 1791011 2583761 2843479 2858501 4384889 6047399 6998399 9651809 14805701 14883919 16380041 23630291 40102859 50255971 74929069 85289179 127161781 136123789 202953571 429365329 431633651 685278439 1056758249 1162982911 1457423159 2473386191 3568173941 3947589881 6055531709 9664789019 20554692139 30645989221 103477044289 175610419561 280278881551 596086072031 1459383141869 42322111114201