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1312311213120 = 26359671413641
BaseRepresentation
bin10011000110001011110…
…101111111110001000000
311122110022020001212201110
4103012023311333301000
5133000103132304440
62442511211403320
7163545203156115
oct23061365776100
94573266055643
101312311213120
11466603516896
12192402453540
139699a88482b
144773265890c
1524209b6c080
hex1318bd7fc40

1312311213120 has 112 divisors (see below), whose sum is σ = 4170899829888. Its totient is φ = 349587517440.

The previous prime is 1312311213119. The next prime is 1312311213127. The reversal of 1312311213120 is 213121132131.

It is not an unprimeable number, because it can be changed into a prime (1312311213127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221500 + ... + 1635140.

Almost surely, 21312311213120 is an apocalyptic number.

1312311213120 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 1312311213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085449914944).

1312311213120 is an abundant number, since it is smaller than the sum of its proper divisors (2858588616768).

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

1312311213120 is a wasteful number, since it uses less digits than its factorization.

1312311213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414628 (or 1414618 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1312311213120 its reverse (213121132131), we get a palindrome (1525432345251).

The spelling of 1312311213120 in words is "one trillion, three hundred twelve billion, three hundred eleven million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 967 1934 2901 3868 4835 5802 7736 9670 11604 14505 15472 19340 23208 29010 30944 38680 46416 58020 61888 77360 92832 116040 154720 185664 232080 309440 464160 928320 1413641 2827282 4240923 5654564 7068205 8481846 11309128 14136410 16963692 21204615 22618256 28272820 33927384 42409230 45236512 56545640 67854768 84818460 90473024 113091280 135709536 169636920 226182560 271419072 339273840 452365120 678547680 1357095360 1366990847 2733981694 4100972541 5467963388 6834954235 8201945082 10935926776 13669908470 16403890164 20504862705 21871853552 27339816940 32807780328 41009725410 43743707104 54679633880 65615560656 82019450820 87487414208 109359267760 131231121312 164038901640 218718535520 262462242624 328077803280 437437071040 656155606560 1312311213120