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1312211220 = 2235432292221
BaseRepresentation
bin100111000110110…
…1100000100010100
310101110011020101120
41032031230010110
510141411224340
6334113123540
744342416455
oct11615540424
93343136346
101312211220
11613788791
123075595b0
1317bb22158
14c63bd12c
157a3034d0
hex4e36c114

1312211220 has 96 divisors (see below), whose sum is σ = 3777755520. Its totient is φ = 340139520.

The previous prime is 1312211213. The next prime is 1312211239. The reversal of 1312211220 is 221122131.

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 1312211220.

It is a congruent number.

It is an unprimeable number.

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, 589710 + ... + 591930.

It is an arithmetic number, because the mean of its divisors is an integer number (39351620).

Almost surely, 21312211220 is an apocalyptic number.

1312211220 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 1312211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888877760).

1312211220 is an abundant number, since it is smaller than the sum of its proper divisors (2465544300).

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

1312211220 is a wasteful number, since it uses less digits than its factorization.

1312211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1312211220 is about 36224.4561035773. The cubic root of 1312211220 is about 1094.7994795558.

Adding to 1312211220 its reverse (221122131), we get a palindrome (1533333351).

It can be divided in two parts, 13122 and 11220, that added together give a palindrome (24342).

The spelling of 1312211220 in words is "one billion, three hundred twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 229 258 430 458 516 645 687 860 916 1145 1290 1374 2221 2290 2580 2748 3435 4442 4580 6663 6870 8884 9847 11105 13326 13740 19694 22210 26652 29541 33315 39388 44420 49235 59082 66630 95503 98470 118164 133260 147705 191006 196940 286509 295410 382012 477515 508609 573018 590820 955030 1017218 1146036 1432545 1525827 1910060 2034436 2543045 2865090 3051654 5086090 5730180 6103308 7629135 10172180 15258270 21870187 30516540 43740374 65610561 87480748 109350935 131221122 218701870 262442244 328052805 437403740 656105610 1312211220