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1122730050 = 2352132325033
BaseRepresentation
bin100001011101011…
…1000000001000010
32220020121121002110
41002322320001002
54244404330200
6303224000150
736552022311
oct10272700102
92806547073
101122730050
1152682a782
12274000056
1314b7ab910
14a9178278
1568875b50
hex42eb8042

1122730050 has 96 divisors (see below), whose sum is σ = 3129049728. Its totient is φ = 264337920.

The previous prime is 1122730013. The next prime is 1122730051. The reversal of 1122730050 is 500372211.

It is a junction number, because it is equal to n+sod(n) for n = 1122729999 and 1122730026.

It is not an unprimeable number, because it can be changed into a prime (1122730051) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 32334 + ... + 57366.

It is an arithmetic number, because the mean of its divisors is an integer number (32594268).

Almost surely, 21122730050 is an apocalyptic number.

1122730050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122730050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564524864).

1122730050 is an abundant number, since it is smaller than the sum of its proper divisors (2006319678).

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

1122730050 is a wasteful number, since it uses less digits than its factorization.

1122730050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25084 (or 25079 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1122730050 is about 33507.1641593257. The cubic root of 1122730050 is about 1039.3419314459.

The spelling of 1122730050 in words is "one billion, one hundred twenty-two million, seven hundred thirty thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 23 25 26 30 39 46 50 65 69 75 78 115 130 138 150 195 230 299 325 345 390 575 598 650 690 897 975 1150 1495 1725 1794 1950 2990 3450 4485 7475 8970 14950 22425 25033 44850 50066 75099 125165 150198 250330 325429 375495 575759 625825 650858 750990 976287 1151518 1251650 1627145 1727277 1877475 1952574 2878795 3254290 3454554 3754950 4881435 5757590 7484867 8135725 8636385 9762870 14393975 14969734 16271450 17272770 22454601 24407175 28787950 37424335 43181925 44909202 48814350 74848670 86363850 112273005 187121675 224546010 374243350 561365025 1122730050