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242103315126 = 23173101233349
BaseRepresentation
bin1110000101111001111…
…0110110101010110110
3212010220121002200221010
43201132132312222312
512431311422041001
6303115402133050
723330355136611
oct3413636665266
9763817080833
10242103315126
1193748012002
123ab07ab1186
1319aa40804aa
14ba09b5d178
15646e92a8d6
hex385e7b6ab6

242103315126 has 128 divisors (see below), whose sum is σ = 523282032000. Its totient is φ = 74664652800.

The previous prime is 242103315119. The next prime is 242103315379. The reversal of 242103315126 is 621513301242.

It is a super-2 number, since 2×2421033151262 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242103315093 and 242103315102.

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 63 ways as a sum of consecutive naturals, for example, 693705600 + ... + 693705948.

It is an arithmetic number, because the mean of its divisors is an integer number (4088140875).

Almost surely, 2242103315126 is an apocalyptic number.

242103315126 is an abundant number, since it is smaller than the sum of its proper divisors (281178716874).

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

242103315126 is a wasteful number, since it uses less digits than its factorization.

242103315126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 242103315126 its reverse (621513301242), we get a palindrome (863616616368).

The spelling of 242103315126 in words is "two hundred forty-two billion, one hundred three million, three hundred fifteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 17 34 51 101 102 202 233 289 303 349 466 578 606 698 699 867 1047 1398 1717 1734 2094 3434 3961 4913 5151 5933 7922 9826 10302 11866 11883 14739 17799 23533 23766 29189 29478 35249 35598 47066 58378 67337 70498 70599 81317 87567 100861 105747 134674 141198 162634 175134 201722 202011 211494 243951 302583 400061 404022 487902 496213 599233 605166 800122 992426 1144729 1198466 1200183 1382389 1488639 1714637 1797699 2289458 2400366 2764778 2977278 3429274 3434187 3595398 4147167 5143911 6801037 6868374 8213017 8294334 10186961 10287822 13602074 16426034 20373922 20403111 23500613 24639051 30560883 40806222 47001226 49278102 61121766 70501839 115617629 139621289 141003678 173178337 231235258 279242578 346356674 346852887 399510421 418863867 519535011 693705774 799020842 837727734 1039070022 1198531263 2373561913 2397062526 4747123826 7120685739 14241371478 40350552521 80701105042 121051657563 242103315126