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11220032320 = 26579415323
BaseRepresentation
bin10100111001100010…
…00001101101000000
31001221221110200211121
422130301001231000
5140434312013240
65053204122024
7545020462330
oct123461015500
931857420747
1011220032320
114838463392
122211696314
13109a6a69a3
147861c90c0
1545a05404a
hex29cc41b40

11220032320 has 112 divisors (see below), whose sum is σ = 30572707968. Its totient is φ = 3842058240.

The previous prime is 11220032303. The next prime is 11220032321. The reversal of 11220032320 is 2323002211.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 11220032294 and 11220032303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220032321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2105179 + ... + 2110501.

Almost surely, 211220032320 is an apocalyptic number.

11220032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15286353984).

11220032320 is an abundant number, since it is smaller than the sum of its proper divisors (19352675648).

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

11220032320 is an equidigital number, since it uses as much as digits as its factorization.

11220032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11220032320 its reverse (2323002211), we get a palindrome (13543034531).

The spelling of 11220032320 in words is "eleven billion, two hundred twenty million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 941 1120 1882 2240 3764 4705 5323 6587 7528 9410 10646 13174 15056 18820 21292 26348 26615 30112 32935 37261 37640 42584 52696 53230 60224 65870 74522 75280 85168 105392 106460 131740 149044 150560 170336 186305 210784 212920 263480 298088 301120 340672 372610 421568 425840 526960 596176 745220 851680 1053920 1192352 1490440 1703360 2107840 2384704 2980880 5008943 5961760 10017886 11923520 20035772 25044715 35062601 40071544 50089430 70125202 80143088 100178860 140250404 160286176 175313005 200357720 280500808 320572352 350626010 400715440 561001616 701252020 801430880 1122003232 1402504040 1602861760 2244006464 2805008080 5610016160 11220032320