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212033312313000 = 23353166147425393
BaseRepresentation
bin110000001101011111011010…
…010000101100111010101000
31000210202012001002200222222020
4300031133122100230322220
5210242423210423004000
62030542431534024440
762442621066323223
oct6015373220547250
91023665032628866
10212033312313000
1161618906115a42
121b945587348120
13914086a347479
143a506779105ba
15197a7167beba0
hexc0d7da42cea8

212033312313000 has 128 divisors (see below), whose sum is σ = 661549471240320. Its totient is φ = 56541743385600.

The previous prime is 212033312312953. The next prime is 212033312313029. The reversal of 212033312313000 is 313213330212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498228304 + ... + 498653696.

It is an arithmetic number, because the mean of its divisors is an integer number (5168355244065).

Almost surely, 2212033312313000 is an apocalyptic number.

212033312313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212033312313000 is an abundant number, since it is smaller than the sum of its proper divisors (449516158927320).

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

212033312313000 is a wasteful number, since it uses less digits than its factorization.

212033312313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591564 (or 591550 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 212033312313000 its reverse (313213330212), we get a palindrome (212346525643212).

The spelling of 212033312313000 in words is "two hundred twelve trillion, thirty-three billion, three hundred twelve million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 166147 332294 425393 498441 664588 830735 850786 996882 1276179 1329176 1661470 1701572 1993764 2126965 2492205 2552358 3322940 3403144 3987528 4153675 4253930 4984410 5104716 6380895 6645880 8307350 8507860 9968820 10209432 10634825 12461025 12761790 16614700 17015720 19937640 20768375 21269650 24922050 25523580 31904475 33229400 41536750 42539300 49844100 51047160 53174125 62305125 63808950 83073500 85078600 99688200 106348250 124610250 127617900 159522375 166147000 212696500 249220500 255235800 319044750 425393000 498441000 638089500 1276179000 70677770771 141355541542 212033312313 282711083084 353388853855 424066624626 565422166168 706777707710 848133249252 1060166561565 1413555415420 1696266498504 1766944269275 2120333123130 2827110830840 3533888538550 4240666246260 5300832807825 7067777077100 8481332492520 8834721346375 10601665615650 14135554154200 17669442692750 21203331231300 26504164039125 35338885385500 42406662462600 53008328078250 70677770771000 106016656156500 212033312313000