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212312002010320 = 245196117313235947
BaseRepresentation
bin110000010001100010111101…
…011101100001110011010000
31000211201211101110112111002201
4300101202331131201303100
5210312004440003312240
62031314442013252544
762502015221551342
oct6021427535416320
91024654343474081
10212312002010320
1161716018199443
121b98b5a3a94154
139160c22196c04
143a5dd54727292
151982ac8189d9a
hexc118bd761cd0

212312002010320 has 160 divisors (see below), whose sum is σ = 531176594129280. Its totient is φ = 78678698526720.

The previous prime is 212312002010279. The next prime is 212312002010321. The reversal of 212312002010320 is 23010200213212.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212312002010321) 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, 9422587 + ... + 22658533.

It is an arithmetic number, because the mean of its divisors is an integer number (3319853713308).

Almost surely, 2212312002010320 is an apocalyptic number.

212312002010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212312002010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265588297064640).

212312002010320 is an abundant number, since it is smaller than the sum of its proper divisors (318864592118960).

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

212312002010320 is a wasteful number, since it uses less digits than its factorization.

212312002010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13236213 (or 13236207 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 212312002010320 its reverse (23010200213212), we get a palindrome (235322202223532).

The spelling of 212312002010320 in words is "two hundred twelve trillion, three hundred twelve billion, two million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 61 76 80 95 122 152 173 190 244 304 305 346 380 488 610 692 760 865 976 1159 1220 1384 1520 1730 2318 2440 2768 3287 3460 4636 4880 5795 6574 6920 9272 10553 11590 13148 13840 16435 18544 21106 23180 26296 32870 42212 46360 52592 52765 65740 84424 92720 105530 131480 168848 200507 211060 262960 401014 422120 802028 844240 1002535 1604056 2005070 3208112 4010140 8020280 13235947 16040560 26471894 52943788 66179735 105887576 132359470 211775152 251482993 264718940 502965986 529437880 807392767 1005931972 1058875760 1257414965 1614785534 2011863944 2289818831 2514829930 3229571068 4023727888 4036963835 4579637662 5029659860 6459142136 8073927670 9159275324 10059319720 11449094155 12918284272 15340462573 16147855340 18318550648 20118639440 22898188310 30680925146 32295710680 36637101296 43506557789 45796376620 61361850292 64591421360 76702312865 87013115578 91592753240 122723700584 139678948691 153404625730 174026231156 183185506480 217532788945 245447401168 279357897382 306809251460 348052462312 435065577890 558715794764 613618502920 696104924624 698394743455 870131155780 1117431589528 1227237005840 1396789486910 1740262311560 2234863179056 2653900025129 2793578973820 3480524623120 5307800050258 5587157947640 10615600100516 11174315895280 13269500125645 21231200201032 26539000251290 42462400402064 53078000502580 106156001005160 212312002010320