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242121343121242 = 21385713218225761
BaseRepresentation
bin110111000011010101000100…
…101001100011011101011010
31011202021120111200220011022121
4313003111010221203131122
5223213404002314334432
62214541002015011454
7101666455410400234
oct6703250451433532
91152246450804277
10242121343121242
11701690a3113182
12231a48a3b09b8a
13a513c3862a460
1443b0a4243d254
151ced1e9aeb197
hexdc3544a6375a

242121343121242 has 32 divisors (see below), whose sum is σ = 391871945569104. Its totient is φ = 111533408870400.

The previous prime is 242121343121179. The next prime is 242121343121257.

It is a happy number.

242121343121242 is nontrivially palindromic in base 10.

242121343121242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 116529671701881 + 125591671419361 = 10794891^2 + 11206769^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242121343121198 and 242121343121207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25321642 + ... + 33547402.

Almost surely, 2242121343121242 is an apocalyptic number.

242121343121242 is a deficient number, since it is larger than the sum of its proper divisors (149750602447862).

242121343121242 is a wasteful number, since it uses less digits than its factorization.

242121343121242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8227954.

The product of its digits is 36864, while the sum is 34.

The spelling of 242121343121242 in words is "two hundred forty-two trillion, one hundred twenty-one billion, three hundred forty-three million, one hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 13 26 857 1321 1714 2642 11141 17173 22282 34346 1132097 2264194 8225761 14717261 16451522 29434522 106934893 213869786 7049477177 10866230281 14098954354 21732460562 91643203301 141260993653 183286406602 282521987306 9312359350817 18624718701634 121060671560621 242121343121242