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11220002112200 = 235278014287223
BaseRepresentation
bin1010001101000101110000…
…1111011000001011001000
31110201121210020102221110012
42203101130033120023020
52432312031020042300
635510221532211052
72235422053242260
oct243213417301310
943647706387405
1011220002112200
113636415762052
121312618009a88
136350706aa37b
142ab09dd2c7a0
15146cd0b65435
hexa345c3d82c8

11220002112200 has 48 divisors (see below), whose sum is σ = 29813148473280. Its totient is φ = 3846857866560.

The previous prime is 11220002112181. The next prime is 11220002112203. The reversal of 11220002112200 is 221120002211.

It is a super-3 number, since 3×112200021122003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11220002112203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4007142212 + ... + 4007145011.

It is an arithmetic number, because the mean of its divisors is an integer number (621107259860).

Almost surely, 211220002112200 is an apocalyptic number.

11220002112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220002112200 is an abundant number, since it is smaller than the sum of its proper divisors (18593146361080).

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

11220002112200 is a wasteful number, since it uses less digits than its factorization.

11220002112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8014287246 (or 8014287237 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11220002112200 its reverse (221120002211), we get a palindrome (11441122114411).

The spelling of 11220002112200 in words is "eleven trillion, two hundred twenty billion, two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 8014287223 16028574446 32057148892 40071436115 56100010561 64114297784 80142872230 112200021122 160285744460 200357180575 224400042244 280500052805 320571488920 400714361150 448800084488 561000105610 801428722300 1122000211220 1402500264025 1602857444600 2244000422440 2805000528050 5610001056100 11220002112200