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312000022320 = 24357655128349
BaseRepresentation
bin1001000101001001010…
…01101000011100110000
31002211022211002022201020
410202210221220130300
520102434001203240
6355155243135440
731353436301220
oct4424451503460
91084284068636
10312000022320
11110355973718
1250574214580
1323562ca062c
141115ab68080
1581b0e360d0
hex48a4a68730

312000022320 has 160 divisors (see below), whose sum is σ = 1105579238400. Its totient is φ = 71300889600.

The previous prime is 312000022277. The next prime is 312000022337. The reversal of 312000022320 is 23220000213.

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 312000022320.

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, 10991506 + ... + 11019854.

It is an arithmetic number, because the mean of its divisors is an integer number (6909870240).

Almost surely, 2312000022320 is an apocalyptic number.

312000022320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312000022320 is an abundant number, since it is smaller than the sum of its proper divisors (793579216080).

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

312000022320 is a wasteful number, since it uses less digits than its factorization.

312000022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34923 (or 34917 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 312000022320 its reverse (23220000213), we get a palindrome (335220022533).

The spelling of 312000022320 in words is "three hundred twelve billion, twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 6551 13102 19653 26204 28349 32755 39306 45857 52408 56698 65510 78612 85047 91714 98265 104816 113396 131020 137571 141745 157224 170094 183428 196530 198443 226792 229285 262040 275142 283490 314448 340188 366856 393060 396886 425235 453584 458570 524080 550284 566980 595329 680376 687855 733712 786120 793772 850470 917140 992215 1100568 1133960 1190658 1360752 1375710 1572240 1587544 1700940 1834280 1984430 2201136 2267920 2381316 2751420 2976645 3175088 3401880 3668560 3968860 4762632 5502840 5953290 6803760 7937720 9525264 11005680 11906580 15875440 23813160 47626320 185714299 371428598 557142897 742857196 928571495 1114285794 1300000093 1485714392 1857142990 2228571588 2600000186 2785714485 2971428784 3714285980 3900000279 4457143176 5200000372 5571428970 6500000465 7428571960 7800000558 8914286352 10400000744 11142857940 13000000930 14857143920 15600001116 19500001395 20800001488 22285715880 26000001860 31200002232 39000002790 44571431760 52000003720 62400004464 78000005580 104000007440 156000011160 312000022320