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242031324210 = 23513881704419
BaseRepresentation
bin1110000101101000110…
…0001110110000110010
3212010201120122011221220
43201122030032300302
512431140004333320
6303104311125510
723325522211554
oct3413214166062
9763646564856
10242031324210
1193710411185
123aaa7973896
1319a92195710
14ba0037d4d4
156468459e40
hex385a30ec32

242031324210 has 64 divisors (see below), whose sum is σ = 626268827520. Its totient is φ = 59509232640.

The previous prime is 242031324181. The next prime is 242031324229. The reversal of 242031324210 is 12423130242.

It is a happy number.

It is a super-2 number, since 2×2420313242102 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8620 + ... + 695799.

It is an arithmetic number, because the mean of its divisors is an integer number (9785450430).

Almost surely, 2242031324210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242031324210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313134413760).

242031324210 is an abundant number, since it is smaller than the sum of its proper divisors (384237503310).

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

242031324210 is a wasteful number, since it uses less digits than its factorization.

242031324210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705323.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 242031324210 its reverse (12423130242), we get a palindrome (254454454452).

The spelling of 242031324210 in words is "two hundred forty-two billion, thirty-one million, three hundred twenty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 881 1762 2643 4405 5286 8810 11453 13215 22906 26430 34359 57265 68718 114530 171795 343590 704419 1408838 2113257 3522095 4226514 7044190 9157447 10566285 18314894 21132570 27472341 45787235 54944682 91574470 137361705 274723410 620593139 1241186278 1861779417 3102965695 3723558834 6205931390 8067710807 9308897085 16135421614 18617794170 24203132421 40338554035 48406264842 80677108070 121015662105 242031324210