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42226102125 = 3253432713221
BaseRepresentation
bin100111010100110111…
…110010111101101101
311000222210212020112100
4213110313302331231
51142434340232000
631222015525313
73023254642314
oct472467627555
9130883766470
1042226102125
11169a9596569
128225529839
133c9c32295c
1420880c127b
15117215ca00
hex9d4df2f6d

42226102125 has 96 divisors (see below), whose sum is σ = 78201497088. Its totient is φ = 21908880000.

The previous prime is 42226102097. The next prime is 42226102141. The reversal of 42226102125 is 52120162224.

42226102125 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 610 + 21 + 25 = 666.

It is not a de Polignac number, because 42226102125 - 29 = 42226101613 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13108015 + ... + 13111235.

It is an arithmetic number, because the mean of its divisors is an integer number (814598928).

Almost surely, 242226102125 is an apocalyptic number.

42226102125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42226102125 is a deficient number, since it is larger than the sum of its proper divisors (35975394963).

42226102125 is a wasteful number, since it uses less digits than its factorization.

42226102125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 42226102125 its reverse (52120162224), we get a palindrome (94346264349).

The spelling of 42226102125 in words is "forty-two billion, two hundred twenty-six million, one hundred two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 43 45 75 125 129 215 225 271 375 387 645 813 1075 1125 1355 1935 2439 3221 3225 4065 5375 6775 9663 9675 11653 12195 16105 16125 20325 28989 33875 34959 48315 48375 58265 60975 80525 101625 104877 138503 144945 174795 241575 291325 304875 402625 415509 524385 692515 724725 872891 873975 1207875 1246527 1456625 2077545 2618673 2621925 3462575 3623625 4364455 4369875 6232635 7856019 10387725 13093365 13109625 17312875 21822275 31163175 37534313 39280095 51938625 65466825 109111375 112602939 155815875 187671565 196400475 327334125 337808817 563014695 938357825 982002375 1689044085 2815073475 4691789125 8445220425 14075367375 42226102125