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11220010300 = 2252607918457
BaseRepresentation
bin10100111001100001…
…11100010100111100
31001221221102120122001
422130300330110330
5140434310312200
65053203432044
7545020341202
oct123460742474
931857376561
1011220010300
114838448894
122211685624
13109a699965
147861c1072
1545a04c76a
hex29cc3c53c

11220010300 has 36 divisors (see below), whose sum is σ = 24352746880. Its totient is φ = 4487022720.

The previous prime is 11220010289. The next prime is 11220010309. The reversal of 11220010300 is 301002211.

11220010300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112200103002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220010309) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 598672 + ... + 617128.

Almost surely, 211220010300 is an apocalyptic number.

11220010300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220010300 is an abundant number, since it is smaller than the sum of its proper divisors (13132736580).

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

11220010300 is a wasteful number, since it uses less digits than its factorization.

11220010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24550 (or 24543 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11220010300 its reverse (301002211), we get a palindrome (11521012511).

It can be divided in two parts, 112200 and 10300, that added together give a square (122500 = 3502).

The spelling of 11220010300 in words is "eleven billion, two hundred twenty million, ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 6079 12158 18457 24316 30395 36914 60790 73828 92285 121580 151975 184570 303950 369140 461425 607900 922850 1845700 112200103 224400206 448800412 561000515 1122001030 2244002060 2805002575 5610005150 11220010300