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242110223124 = 2237111571668943
BaseRepresentation
bin1110000101111011100…
…1001101001100010100
3212010221002002122220220
43201132321031030110
512431320204114444
6303120210154340
723330500640550
oct3413671151424
9763832078826
10242110223124
1193750a000a0
123ab0a2829b0
1319aa562b873
14ba0aa3a860
156470342619
hex385ee4d314

242110223124 has 96 divisors (see below), whose sum is σ = 708807192576. Its totient is φ = 62485188480.

The previous prime is 242110223053. The next prime is 242110223183. The reversal of 242110223124 is 421322011242.

242110223124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242110223094 and 242110223103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689404 + ... + 979539.

It is an arithmetic number, because the mean of its divisors is an integer number (7383408256).

Almost surely, 2242110223124 is an apocalyptic number.

It is an amenable number.

242110223124 is an abundant number, since it is smaller than the sum of its proper divisors (466696969452).

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

242110223124 is a wasteful number, since it uses less digits than its factorization.

242110223124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669125 (or 1669123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 242110223124 its reverse (421322011242), we get a palindrome (663432234366).

The spelling of 242110223124 in words is "two hundred forty-two billion, one hundred ten million, two hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 157 231 308 314 462 471 628 924 942 1099 1727 1884 2198 3297 3454 4396 5181 6594 6908 10362 12089 13188 20724 24178 36267 48356 72534 145068 1668943 3337886 5006829 6675772 10013658 11682601 18358373 20027316 23365202 35047803 36716746 46730404 55075119 70095606 73433492 110150238 128508611 140191212 220300476 257017222 262024051 385525833 514034444 524048102 771051666 786072153 1048096204 1542103332 1572144306 1834168357 2882264561 3144288612 3668336714 5502505071 5764529122 7336673428 8646793683 11005010142 11529058244 17293587366 20175851927 22010020284 34587174732 40351703854 60527555781 80703407708 121055111562 242110223124