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242130031242 = 231110136323137
BaseRepresentation
bin1110000110000000010…
…0110001001010001010
3212010222110101000112220
43201200010301022022
512431340241444432
6303122154514510
723331131210301
oct3414004611212
9763873330486
10242130031242
11937610aa240
123ab14a35a36
1319aa9775848
14ba0d515438
156471e5672c
hex386013128a

242130031242 has 32 divisors (see below), whose sum is σ = 533514250944. Its totient is φ = 72646272000.

The previous prime is 242130031211. The next prime is 242130031259.

It is a happy number.

242130031242 is nontrivially palindromic in base 10.

242130031242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18154903 + ... + 18168234.

It is an arithmetic number, because the mean of its divisors is an integer number (16672320342).

Almost surely, 2242130031242 is an apocalyptic number.

242130031242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242130031242 is an abundant number, since it is smaller than the sum of its proper divisors (291384219702).

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

242130031242 is a wasteful number, since it uses less digits than its factorization.

242130031242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36323254.

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

It can be divided in two parts, 2421300 and 31242, that added together give a palindrome (2452542).

The spelling of 242130031242 in words is "two hundred forty-two billion, one hundred thirty million, thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 3333 6666 36323137 72646274 108969411 217938822 399554507 799109014 1198663521 2397327042 3668636837 7337273674 11005910511 22011821022 40355005207 80710010414 121065015621 242130031242