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242221122242 = 211197183107919
BaseRepresentation
bin1110000110010110000…
…0010000001011000010
3212011012210202220220122
43201211200100023002
512432032101402432
6303135211140242
723333315365601
oct3414540201302
9764183686818
10242221122242
11937a8566260
123ab3b444682
1319ac25ba248
14ba1b667a38
156479e4b612
hex38658102c2

242221122242 has 128 divisors (see below), whose sum is σ = 432669081600. Its totient is φ = 100538625600.

The previous prime is 242221122167. The next prime is 242221122263.

242221122242 is nontrivially palindromic in base 10.

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 63 ways as a sum of consecutive naturals, for example, 263569859 + ... + 263570777.

It is an arithmetic number, because the mean of its divisors is an integer number (3380227200).

Almost surely, 2242221122242 is an apocalyptic number.

242221122242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242221122242 is a deficient number, since it is larger than the sum of its proper divisors (190447959358).

242221122242 is a wasteful number, since it uses less digits than its factorization.

242221122242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212.

The product of its digits is 4096, while the sum is 26.

It can be divided in two parts, 242221 and 122242, that added together give a palindrome (364463).

The spelling of 242221122242 in words is "two hundred forty-two billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred forty-two".

Divisors: 1 2 11 19 22 38 71 83 107 142 166 209 214 418 781 913 919 1177 1349 1562 1577 1826 1838 2033 2354 2698 3154 4066 5893 7597 8881 10109 11786 14839 15194 17347 17461 17762 20218 22363 29678 34694 34922 44726 64823 65249 76277 83567 97691 98333 111967 129646 130498 144343 152554 167134 168739 192071 195382 196666 223934 288686 337478 384142 630551 717739 839047 1081663 1231637 1239731 1261102 1435478 1449263 1587773 1678094 1856129 1868327 2163326 2463274 2479462 2898526 3175546 3712258 3736654 5415667 6936061 6981643 8161639 10831334 11980469 13637041 13872122 13963286 15941893 16323278 20551597 23960938 27274082 31883786 41103194 59572337 76798073 89778029 102897673 119144674 131785159 132651217 153596146 155071141 179556058 205795346 263570318 265302434 310142282 579476369 1131874403 1158952738 1459163387 1705782551 2263748806 2918326774 3411565102 6374240059 11010051011 12748480118 22020102022 121110561121 242221122242