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1232012320 = 25571129091
BaseRepresentation
bin100100101101111…
…0000010000100000
310011212020201011221
41021123300100200
510010343343240
6322130144424
742346634440
oct11133602040
93155221157
101232012320
11582491100
122a4722114
13168322396
14b98a4120
1573260a4a
hex496f0420

1232012320 has 144 divisors (see below), whose sum is σ = 3656729664. Its totient is φ = 383961600.

The previous prime is 1232012291. The next prime is 1232012333. The reversal of 1232012320 is 232102321.

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 = 1232012294 and 1232012303.

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 23 ways as a sum of consecutive naturals, for example, 130975 + ... + 140065.

It is an arithmetic number, because the mean of its divisors is an integer number (25393956).

Almost surely, 21232012320 is an apocalyptic number.

1232012320 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 1232012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828364832).

1232012320 is an abundant number, since it is smaller than the sum of its proper divisors (2424717344).

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

1232012320 is a wasteful number, since it uses less digits than its factorization.

1232012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9135 (or 9116 counting only the distinct ones).

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

The square root of 1232012320 is about 35100.0330484175. The cubic root of 1232012320 is about 1072.0252555868.

Adding to 1232012320 its reverse (232102321), we get a palindrome (1464114641).

Subtracting from 1232012320 its reverse (232102321), we obtain a palindrome (999909999).

It can be divided in two parts, 123201 and 2320, that added together give a palindrome (125521).

The spelling of 1232012320 in words is "one billion, two hundred thirty-two million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 121 140 154 160 176 220 224 242 280 308 352 385 440 484 560 605 616 770 847 880 968 1120 1210 1232 1540 1694 1760 1936 2420 2464 3080 3388 3872 4235 4840 6160 6776 8470 9091 9680 12320 13552 16940 18182 19360 27104 33880 36364 45455 63637 67760 72728 90910 100001 127274 135520 145456 181820 200002 254548 290912 318185 363640 400004 500005 509096 636370 700007 727280 800008 1000010 1018192 1100011 1272740 1400014 1454560 1600016 2000020 2036384 2200022 2545480 2800028 3200032 3500035 4000040 4400044 5090960 5500055 5600056 7000070 7700077 8000080 8800088 10181920 11000110 11200112 14000140 15400154 16000160 17600176 22000220 22400224 28000280 30800308 35200352 38500385 44000440 56000560 61600616 77000770 88000880 112001120 123201232 154001540 176001760 246402464 308003080 616006160 1232012320