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20010003312 = 24313231797789
BaseRepresentation
bin10010101000101100…
…000110101101110000
31220122112100111012210
4102220230012231300
5311440030101222
613105323452120
71305603136035
oct225054065560
956575314183
1020010003312
118539141722
123a65387040
131b6b79ab60
14d7b76b38c
157c1a94d0c
hex4a8b06b70

20010003312 has 160 divisors (see below), whose sum is σ = 58421260800. Its totient is φ = 5855579136.

The previous prime is 20010003269. The next prime is 20010003359. The reversal of 20010003312 is 21330001002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 2565114 + ... + 2572902.

It is an arithmetic number, because the mean of its divisors is an integer number (365132880).

Almost surely, 220010003312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20010003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29210630400).

20010003312 is an abundant number, since it is smaller than the sum of its proper divisors (38411257488).

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

20010003312 is a wasteful number, since it uses less digits than its factorization.

20010003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8015 (or 8009 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20010003312 its reverse (21330001002), we get a palindrome (41340004314).

The spelling of 20010003312 in words is "twenty billion, ten million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 179 184 208 276 299 312 358 368 537 552 598 624 716 897 1074 1104 1196 1432 1794 2148 2327 2392 2864 3588 4117 4296 4654 4784 6981 7176 7789 8234 8592 9308 12351 13962 14352 15578 16468 18616 23367 24702 27924 31156 32936 37232 46734 49404 53521 55848 62312 65872 93468 98808 101257 107042 111696 124624 160563 179147 186936 197616 202514 214084 303771 321126 358294 373872 405028 428168 537441 607542 642252 716588 810056 856336 1074882 1215084 1284504 1394231 1433176 1620112 2149764 2328911 2430168 2569008 2788462 2866352 4182693 4299528 4657822 4860336 5576924 6986733 8365386 8599056 9315644 11153848 13973466 16730772 18125003 18631288 22307696 27946932 32067313 33461544 36250006 37262576 54375009 55893864 64134626 66923088 72500012 96201939 108750018 111787728 128269252 145000024 192403878 217500036 256538504 290000048 384807756 416875069 435000072 513077008 769615512 833750138 870000144 1250625207 1539231024 1667500276 2501250414 3335000552 5002500828 6670001104 10005001656 20010003312