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11220012304 = 2429149162289
BaseRepresentation
bin10100111001100001…
…11100110100010000
31001221221102200101021
422130300330310100
5140434310343204
65053203445224
7545020350064
oct123460746420
931857380337
1011220012304
11483844a346
122211686814
13109a69a847
147861c1aa4
1545a04d154
hex29cc3cd10

11220012304 has 40 divisors (see below), whose sum is σ = 22639455000. Its totient is φ = 5380171776.

The previous prime is 11220012277. The next prime is 11220012343. The reversal of 11220012304 is 40321002211.

It can be written as a sum of positive squares in 4 ways, for example, as 15366400 + 11204645904 = 3920^2 + 105852^2 .

It is a super-2 number, since 2×112200123042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12009 + ... + 150280.

It is an arithmetic number, because the mean of its divisors is an integer number (565986375).

Almost surely, 211220012304 is an apocalyptic number.

It is an amenable number.

11220012304 is an abundant number, since it is smaller than the sum of its proper divisors (11419442696).

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

11220012304 is a wasteful number, since it uses less digits than its factorization.

11220012304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162475 (or 162469 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11220012304 its reverse (40321002211), we get a palindrome (51541014515).

The spelling of 11220012304 in words is "eleven billion, two hundred twenty million, twelve thousand, three hundred four".

Divisors: 1 2 4 8 16 29 58 116 149 232 298 464 596 1192 2384 4321 8642 17284 34568 69136 162289 324578 649156 1298312 2596624 4706381 9412762 18825524 24181061 37651048 48362122 75302096 96724244 193448488 386896976 701250769 1402501538 2805003076 5610006152 11220012304