Search a number
-
+
11223323002000 = 245329193505569
BaseRepresentation
bin1010001101010010001000…
…1011100100010010010000
31110201221100200021121211201
42203110202023210102100
52432340331142031000
635511531242320544
72235600256320604
oct243244213442220
943657320247751
1011223323002000
11363786a27477a
1213131a41b9154
1363547c6c4b15
142ab2d6dc5504
15146e2749296a
hexa35222e4490

11223323002000 has 80 divisors (see below), whose sum is σ = 28073788095600. Its totient is φ = 4334524723200.

The previous prime is 11223323001983. The next prime is 11223323002007. The reversal of 11223323002000 is 20032332211.

It can be written as a sum of positive squares in 8 ways, for example, as 6868655539344 + 4354667462656 = 2620812^2 + 2086784^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11223323002007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96694785 + ... + 96810784.

It is an arithmetic number, because the mean of its divisors is an integer number (350922351195).

Almost surely, 211223323002000 is an apocalyptic number.

11223323002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11223323002000 is an abundant number, since it is smaller than the sum of its proper divisors (16850465093600).

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

11223323002000 is a wasteful number, since it uses less digits than its factorization.

11223323002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193505621 (or 193505605 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 11223323002000 its reverse (20032332211), we get a palindrome (11243355334211).

The spelling of 11223323002000 in words is "eleven trillion, two hundred twenty-three billion, three hundred twenty-three million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 1000 1160 1450 2000 2320 2900 3625 5800 7250 11600 14500 29000 58000 193505569 387011138 774022276 967527845 1548044552 1935055690 3096089104 3870111380 4837639225 5611661501 7740222760 9675278450 11223323002 15480445520 19350556900 22446646004 24188196125 28058307505 38701113800 44893292008 48376392250 56116615010 77402227600 89786584016 96752784500 112233230020 140291537525 193505569000 224466460040 280583075050 387011138000 448932920080 561166150100 701457687625 1122332300200 1402915375250 2244664600400 2805830750500 5611661501000 11223323002000