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212003012312 = 23731334917029
BaseRepresentation
bin1100010101110001011…
…1010011111011011000
3202021012212001212221222
43011130113103323120
511433140232343222
6241220504151212
721213426605000
oct3053427237330
9667185055858
10212003012312
1181a0119aa93
1235107468508
1316cb7c99b20
14a392285000
1557ac0dc542
hex315c5d3ed8

212003012312 has 128 divisors (see below), whose sum is σ = 500682000000. Its totient is φ = 83624099328.

The previous prime is 212003012311. The next prime is 212003012357. The reversal of 212003012312 is 213210300212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212003012311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12441014 + ... + 12458042.

It is an arithmetic number, because the mean of its divisors is an integer number (3911578125).

Almost surely, 2212003012312 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 212003012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250341000000).

212003012312 is an abundant number, since it is smaller than the sum of its proper divisors (288678987688).

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

212003012312 is a wasteful number, since it uses less digits than its factorization.

212003012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17418 (or 17400 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 212003012312 its reverse (213210300212), we get a palindrome (425213312524).

The spelling of 212003012312 in words is "two hundred twelve billion, three million, twelve thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 343 349 364 392 637 686 698 728 1274 1372 1396 2443 2548 2744 2792 4459 4537 4886 5096 8918 9074 9772 17029 17101 17836 18148 19544 31759 34058 34202 35672 36296 63518 68116 68404 119203 119707 127036 136232 136808 221377 222313 238406 239414 254072 442754 444626 476812 478828 834421 885508 889252 953624 957656 1549639 1556191 1668842 1771016 1778504 3099278 3112382 3337684 5840947 5943121 6198556 6224764 6675368 10847473 11681894 11886242 12397112 12449528 21694946 23363788 23772484 41601847 43389892 46727576 47544968 75932311 77260573 83203694 86779784 151864622 154521146 166407388 291212929 303729244 309042292 332814776 540824011 582425858 607458488 618084584 1081648022 1164851716 2038490503 2163296044 2329703432 3785768077 4076981006 4326592088 7571536154 8153962012 15143072308 16307924024 26500376539 30286144616 53000753078 106001506156 212003012312