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1131203120 = 245174120287
BaseRepresentation
bin100001101101100…
…1100101000110000
32220211120001221212
41003123030220300
54304041444440
6304125335252
740014032165
oct10333145060
92824501855
101131203120
11530597713
12276a07528
13150487478
14aa34206c
156949b465
hex436cca30

1131203120 has 80 divisors (see below), whose sum is σ = 2852817408. Its totient is φ = 415457280.

The previous prime is 1131203081. The next prime is 1131203123. The reversal of 1131203120 is 213021311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1131203095 and 1131203104.

It is not an unprimeable number, because it can be changed into a prime (1131203123) 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, 45617 + ... + 65903.

Almost surely, 21131203120 is an apocalyptic number.

1131203120 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 1131203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426408704).

1131203120 is an abundant number, since it is smaller than the sum of its proper divisors (1721614288).

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

1131203120 is a wasteful number, since it uses less digits than its factorization.

1131203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20358 (or 20352 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1131203120 is about 33633.3631978724. The cubic root of 1131203120 is about 1041.9499658534.

Adding to 1131203120 its reverse (213021311), we get a palindrome (1344224431).

The spelling of 1131203120 in words is "one billion, one hundred thirty-one million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 41 68 80 82 85 136 164 170 205 272 328 340 410 656 680 697 820 1360 1394 1640 2788 3280 3485 5576 6970 11152 13940 20287 27880 40574 55760 81148 101435 162296 202870 324592 344879 405740 689758 811480 831767 1379516 1622960 1663534 1724395 2759032 3327068 3448790 4158835 5518064 6654136 6897580 8317670 13308272 13795160 14140039 16635340 27590320 28280078 33270680 56560156 66541360 70700195 113120312 141400390 226240624 282800780 565601560 1131203120