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42227106120 = 23325263344549
BaseRepresentation
bin100111010100111011…
…101000000101001000
311000222212202020202100
4213110323220011020
51142440114343440
631222053233400
73023266323363
oct472473500510
9130885666670
1042227106120
11169aa111911
128225932860
133c9c5b4934
1420882a30da
1511722aa230
hex9d4ee8148

42227106120 has 96 divisors (see below), whose sum is σ = 137293299000. Its totient is φ = 11256032256.

The previous prime is 42227106107. The next prime is 42227106121. The reversal of 42227106120 is 2160172224.

42227106120 is a `hidden beast` number, since 4 + 22 + 27 + 1 + 0 + 612 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18447615684 + 23779490436 = 135822^2 + 154206^2 .

It is not an unprimeable number, because it can be changed into a prime (42227106121) 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, 925606 + ... + 970154.

Almost surely, 242227106120 is an apocalyptic number.

42227106120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42227106120 is an abundant number, since it is smaller than the sum of its proper divisors (95066192880).

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

42227106120 is a wasteful number, since it uses less digits than its factorization.

42227106120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47199 (or 47192 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 42227106120 its reverse (2160172224), we get a palindrome (44387278344).

The spelling of 42227106120 in words is "forty-two billion, two hundred twenty-seven million, one hundred six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2633 5266 7899 10532 13165 15798 21064 23697 26330 31596 39495 44549 47394 52660 63192 78990 89098 94788 105320 118485 133647 157980 178196 189576 222745 236970 267294 315960 356392 400941 445490 473940 534588 668235 801882 890980 947880 1069176 1336470 1603764 1781960 2004705 2672940 3207528 4009410 5345880 8018820 16037640 117297517 234595034 351892551 469190068 586487585 703785102 938380136 1055677653 1172975170 1407570204 1759462755 2111355306 2345950340 2815140408 3518925510 4222710612 4691900680 5278388265 7037851020 8445421224 10556776530 14075702040 21113553060 42227106120