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1123203120 = 2435131572293
BaseRepresentation
bin100001011110010…
…1011100000110000
32220021111122000120
41002330223200300
54300014444440
6303242050240
736556032444
oct10274534060
92807448016
101123203120
11527023146
122741a9980
1314b916040
14a925c824
156891add0
hex42f2b830

1123203120 has 160 divisors (see below), whose sum is σ = 3775300032. Its totient is φ = 274599936.

The previous prime is 1123203097. The next prime is 1123203127. The reversal of 1123203120 is 213023211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1123203120.

It is not an unprimeable number, because it can be changed into a prime (1123203127) 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 31 ways as a sum of consecutive naturals, for example, 488694 + ... + 490986.

Almost surely, 21123203120 is an apocalyptic number.

1123203120 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 1123203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887650016).

1123203120 is an abundant number, since it is smaller than the sum of its proper divisors (2652096912).

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

1123203120 is a wasteful number, since it uses less digits than its factorization.

1123203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1123203120 is about 33514.2226524799. Note that the first 3 decimals coincide. The cubic root of 1123203120 is about 1039.4878888961.

Adding to 1123203120 its reverse (213023211), we get a palindrome (1336226331).

It can be divided in two parts, 112320 and 3120, that multiplied together give a square (350438400 = 187202).

The spelling of 1123203120 in words is "one billion, one hundred twenty-three million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 157 195 208 240 260 312 314 390 471 520 624 628 780 785 942 1040 1256 1560 1570 1884 2041 2293 2355 2512 3120 3140 3768 4082 4586 4710 6123 6280 6879 7536 8164 9172 9420 10205 11465 12246 12560 13758 16328 18344 18840 20410 22930 24492 27516 29809 30615 32656 34395 36688 37680 40820 45860 48984 55032 59618 61230 68790 81640 89427 91720 97968 110064 119236 122460 137580 149045 163280 178854 183440 238472 244920 275160 298090 357708 360001 447135 476944 489840 550320 596180 715416 720002 894270 1080003 1192360 1430832 1440004 1788540 1800005 2160006 2384720 2880008 3577080 3600010 4320012 4680013 5400015 5760016 7154160 7200020 8640024 9360026 10800030 14040039 14400040 17280048 18720052 21600060 23400065 28080078 28800080 37440104 43200120 46800130 56160156 70200195 74880208 86400240 93600260 112320312 140400390 187200520 224640624 280800780 374401040 561601560 1123203120