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1312222320 = 2432510717033
BaseRepresentation
bin100111000110110…
…1110110001110000
310101110011210121200
41032031232301300
510141412103240
6334113251200
744342464023
oct11615566160
93343153550
101312222320
11613796062
12307563b00
1317bb27216
14c63c31ba
157a306930
hex4e36ec70

1312222320 has 120 divisors (see below), whose sum is σ = 4448326896. Its totient is φ = 346635264.

The previous prime is 1312222313. The next prime is 1312222337. The reversal of 1312222320 is 232222131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1312222293 and 1312222302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68524 + ... + 85556.

Almost surely, 21312222320 is an apocalyptic number.

1312222320 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 1312222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224163448).

1312222320 is an abundant number, since it is smaller than the sum of its proper divisors (3136104576).

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

1312222320 is a wasteful number, since it uses less digits than its factorization.

1312222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17159 (or 17150 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1312222320 is about 36224.6093146634. The cubic root of 1312222320 is about 1094.8025665182.

Adding to 1312222320 its reverse (232222131), we get a palindrome (1544444451).

The spelling of 1312222320 in words is "one billion, three hundred twelve million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 107 120 144 180 214 240 321 360 428 535 642 720 856 963 1070 1284 1605 1712 1926 2140 2568 3210 3852 4280 4815 5136 6420 7704 8560 9630 12840 15408 17033 19260 25680 34066 38520 51099 68132 77040 85165 102198 136264 153297 170330 204396 255495 272528 306594 340660 408792 510990 613188 681320 766485 817584 1021980 1226376 1362640 1532970 1822531 2043960 2452752 3065940 3645062 4087920 5467593 6131880 7290124 9112655 10935186 12263760 14580248 16402779 18225310 21870372 27337965 29160496 32805558 36450620 43740744 54675930 65611116 72901240 82013895 87481488 109351860 131222232 145802480 164027790 218703720 262444464 328055580 437407440 656111160 1312222320