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242621100420 = 22358956380701
BaseRepresentation
bin1110000111110101011…
…0000011000110000100
3212012020200101220211020
43201331112003012010
512433342000203140
6303243020111140
723346243216666
oct3417526030604
9765220356736
10242621100420
1193993316836
123b0313954b0
1319b5742191a
14ba58824536
1564a01086d0
hex387d583184

242621100420 has 96 divisors (see below), whose sum is σ = 688200831360. Its totient is φ = 63857587200.

The previous prime is 242621100409. The next prime is 242621100437. The reversal of 242621100420 is 24001126242.

It is a happy number.

It is a super-3 number, since 3×2426211004203 (a number of 35 digits) contains 333 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, 2966070 + ... + 3046770.

It is an arithmetic number, because the mean of its divisors is an integer number (7168758660).

Almost surely, 2242621100420 is an apocalyptic number.

242621100420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242621100420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344100415680).

242621100420 is an abundant number, since it is smaller than the sum of its proper divisors (445579730940).

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

242621100420 is a wasteful number, since it uses less digits than its factorization.

242621100420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81365 (or 81363 counting only the distinct ones).

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

Adding to 242621100420 its reverse (24001126242), we get a palindrome (266622226662).

The spelling of 242621100420 in words is "two hundred forty-two billion, six hundred twenty-one million, one hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 563 890 1068 1126 1335 1689 1780 2252 2670 2815 3378 5340 5630 6756 8445 11260 16890 33780 50107 80701 100214 150321 161402 200428 242103 250535 300642 322804 403505 484206 501070 601284 751605 807010 968412 1002140 1210515 1503210 1614020 2421030 3006420 4842060 7182389 14364778 21547167 28729556 35911945 43094334 45434663 71823890 86188668 90869326 107735835 136303989 143647780 181738652 215471670 227173315 272607978 430943340 454346630 545215956 681519945 908693260 1363039890 2726079780 4043685007 8087370014 12131055021 16174740028 20218425035 24262110042 40436850070 48524220084 60655275105 80873700140 121310550210 242621100420