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11022200202100 = 2252121790568613
BaseRepresentation
bin1010000001100100111001…
…0100111110001101110100
31110000201020002020210102211
42200121032110332031310
52421041431222431400
635235310122543204
72215220252610523
oct240311624761564
943021202223384
1011022200202100
11356a54173637a
1212a0214667b04
1361c5098a1309
142a1697b4c4ba
15141aa5681dba
hexa064e53e374

11022200202100 has 36 divisors (see below), whose sum is σ = 23937828091884. Its totient is φ = 4405257287680.

The previous prime is 11022200202061. The next prime is 11022200202103. The reversal of 11022200202100 is 120200222011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1864628484196 + 9157571717904 = 1365514^2 + 3026148^2 .

It is a super-3 number, since 3×110222002021003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022200202103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45162607 + ... + 45406006.

It is an arithmetic number, because the mean of its divisors is an integer number (664939669219).

Almost surely, 211022200202100 is an apocalyptic number.

11022200202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022200202100 is an abundant number, since it is smaller than the sum of its proper divisors (12915627889784).

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

11022200202100 is a wasteful number, since it uses less digits than its factorization.

11022200202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90569844 (or 90569837 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11022200202100 its reverse (120200222011), we get a palindrome (11142400424111).

The spelling of 11022200202100 in words is "eleven trillion, twenty-two billion, two hundred million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1217 2434 4868 6085 12170 24340 30425 60850 121700 90568613 181137226 362274452 452843065 905686130 1811372260 2264215325 4528430650 9056861300 110222002021 220444004042 440888008084 551110010105 1102220020210 2204440040420 2755550050525 5511100101050 11022200202100