Search a number
-
+
121102020000020 = 225157181212128333
BaseRepresentation
bin11011100010010001000010…
…111000100011100100010100
3120212210020110222211102202202
4123202101002320203210110
5111333113414110000040
61105321255554024032
734336221643502453
oct3342210270434424
9525706428742682
10121102020000020
1135650095192104
12116ba471578018
135275b43862717
1421c952491ab9a
15e0021c61a015
hex6e2442e23914

121102020000020 has 48 divisors (see below), whose sum is σ = 255948321811728. Its totient is φ = 48129589048320.

The previous prime is 121102019999963. The next prime is 121102020000103. The reversal of 121102020000020 is 20000020201121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22473326284816 + 98628693715204 = 4740604^2 + 9931198^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121102019999956 and 121102020000010.

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 15 ways as a sum of consecutive naturals, for example, 55835774 + ... + 57964106.

It is an arithmetic number, because the mean of its divisors is an integer number (5332256704411).

Almost surely, 2121102020000020 is an apocalyptic number.

121102020000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121102020000020 is an abundant number, since it is smaller than the sum of its proper divisors (134846301811708).

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

121102020000020 is a wasteful number, since it uses less digits than its factorization.

121102020000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146620 (or 2146618 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 121102020000020 its reverse (20000020201121), we get a palindrome (141102040201141).

The spelling of 121102020000020 in words is "one hundred twenty-one trillion, one hundred two billion, twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 3140 18121 36242 72484 90605 181210 362420 2128333 2844997 4256666 5689994 8513332 10641665 11379988 14224985 21283330 28449970 42566660 56899940 334148281 668296562 1336593124 1670741405 3341482810 6682965620 38567522293 77135044586 154270089172 192837611465 385675222930 771350445860 6055101000001 12110202000002 24220404000004 30275505000005 60551010000010 121102020000020