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212112313023000 = 23353135438777257
BaseRepresentation
bin110000001110101000111111…
…000100011111101000011000
31000211000201221210110212210110
4300032220333010133220120
5210300222004113214000
62031043015033244320
762451415565302005
oct6016507704375030
91024021853425713
10212112313023000
1161649365a43715
121b9589545636a0
13914814a430310
143a5440da848ac
15197c7dc19c850
hexc0ea3f11fa18

212112313023000 has 128 divisors (see below), whose sum is σ = 712697371888320. Its totient is φ = 52212261657600.

The previous prime is 212112313022993. The next prime is 212112313023011. The reversal of 212112313023000 is 320313211212.

It is a congruent number.

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, 2719349629 + ... + 2719427628.

Almost surely, 2212112313023000 is an apocalyptic number.

212112313023000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112313023000 is an abundant number, since it is smaller than the sum of its proper divisors (500585058865320).

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

212112313023000 is a wasteful number, since it uses less digits than its factorization.

212112313023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438777294 (or 5438777280 counting only the distinct ones).

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

Adding to 212112313023000 its reverse (320313211212), we get a palindrome (212432626234212).

The spelling of 212112313023000 in words is "two hundred twelve trillion, one hundred twelve billion, three hundred thirteen million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 5438777257 10877554514 16316331771 21755109028 27193886285 32632663542 43510218056 54387772570 65265327084 70704104341 81581658855 108775545140 130530654168 135969431425 141408208682 163163317710 212112313023 217551090280 271938862850 282816417364 326326635420 353520521705 407908294275 424224626046 543877725700 565632834728 652653270840 679847157125 707041043410 815816588550 848449252092 1060561565115 1087755451400 1359694314250 1414082086820 1631633177100 1696898504184 1767602608525 2039541471375 2121123130230 2719388628500 2828164173640 3263266354200 3535205217050 4079082942750 4242246260460 5302807825575 5438777257000 7070410434100 8158165885500 8484492520920 8838013042625 10605615651150 14140820868200 16316331771000 17676026085250 21211231302300 26514039127875 35352052170500 42422462604600 53028078255750 70704104341000 106056156511500 212112313023000