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312131122320 = 24351379679817
BaseRepresentation
bin1001000101011000111…
…01101111010010010000
31002211122221202220002210
410202230131233102100
520103221031403240
6355220245112120
731356620523033
oct4425435572220
91084587686083
10312131122320
11110412977026
12505b00b8640
13235841b29b4
141117033301a
1581bc6d0780
hex48ac76f490

312131122320 has 160 divisors (see below), whose sum is σ = 975776617728. Its totient is φ = 82533556224.

The previous prime is 312131122283. The next prime is 312131122337. The reversal of 312131122320 is 23221131213.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31790052 + ... + 31799868.

Almost surely, 2312131122320 is an apocalyptic number.

312131122320 is a gapful number since it is divisible by the number (30) 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 312131122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487888308864).

312131122320 is an abundant number, since it is smaller than the sum of its proper divisors (663645495408).

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

312131122320 is a wasteful number, since it uses less digits than its factorization.

312131122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10937 (or 10931 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312131122320 its reverse (23221131213), we get a palindrome (335352253533).

The spelling of 312131122320 in words is "three hundred twelve billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 967 1096 1370 1644 1934 2055 2192 2740 2901 3288 3868 4110 4835 5480 5802 6576 7736 8220 9670 9817 10960 11604 14505 15472 16440 19340 19634 23208 29010 29451 32880 38680 39268 46416 49085 58020 58902 77360 78536 98170 116040 117804 132479 147255 157072 196340 232080 235608 264958 294510 392680 397437 471216 529916 589020 662395 785360 794874 1059832 1178040 1324790 1344929 1589748 1987185 2119664 2356080 2649580 2689858 3179496 3974370 4034787 5299160 5379716 6358992 6724645 7948740 8069574 9493039 10598320 10759432 13449290 15897480 16139148 18986078 20173935 21518864 26898580 28479117 31794960 32278296 37972156 40347870 47465195 53797160 56958234 64556592 75944312 80695740 94930390 107594320 113916468 142395585 151888624 161391480 189860780 227832936 284791170 322782960 379721560 455665872 569582340 759443120 1139164680 1300546343 2278329360 2601092686 3901639029 5202185372 6502731715 7803278058 10404370744 13005463430 15606556116 19508195145 20808741488 26010926860 31213112232 39016390290 52021853720 62426224464 78032780580 104043707440 156065561160 312131122320