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1122045320 = 235113477349
BaseRepresentation
bin100001011100001…
…0000110110001000
32220012022210211002
41002320100312020
54244220422240
6303201154132
736543141104
oct10270206610
92805283732
101122045320
11526402290
1227392b948
1314b5cc056
14a903a904
156878cd15
hex42e10d88

1122045320 has 64 divisors (see below), whose sum is σ = 2762424000. Its totient is φ = 406785280.

The previous prime is 1122045299. The next prime is 1122045343. The reversal of 1122045320 is 235402211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1122045292 and 1122045301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149006 + ... + 156354.

It is an arithmetic number, because the mean of its divisors is an integer number (43162875).

Almost surely, 21122045320 is an apocalyptic number.

1122045320 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 1122045320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381212000).

1122045320 is an abundant number, since it is smaller than the sum of its proper divisors (1640378680).

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

1122045320 is a wasteful number, since it uses less digits than its factorization.

1122045320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7718 (or 7714 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1122045320 is about 33496.9449353221. The cubic root of 1122045320 is about 1039.1305973777.

Adding to 1122045320 its reverse (235402211), we get a palindrome (1357447531).

The spelling of 1122045320 in words is "one billion, one hundred twenty-two million, forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 347 440 694 1388 1735 2776 3470 3817 6940 7349 7634 13880 14698 15268 19085 29396 30536 36745 38170 58792 73490 76340 80839 146980 152680 161678 293960 323356 404195 646712 808390 1616780 2550103 3233560 5100206 10200412 12750515 20400824 25501030 28051133 51002060 56102266 102004120 112204532 140255665 224409064 280511330 561022660 1122045320