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212023201302 = 2321121912740343
BaseRepresentation
bin1100010101110110010…
…0010100111000010110
3202021021021001121001100
43011131210110320112
511433210414420202
6241222505010530
721214063322013
oct3053544247026
9667237047040
10212023201302
1181a1162a300
1235112183a46
1316cbc218283
14a394c1c70a
1557adc7941c
hex315d914e16

212023201302 has 144 divisors (see below), whose sum is σ = 535716679680. Its totient is φ = 60387132960.

The previous prime is 212023201301. The next prime is 212023201307. The reversal of 212023201302 is 203102320212.

212023201302 is a `hidden beast` number, since 21 + 20 + 2 + 320 + 1 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212023201301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5235343 + ... + 5275685.

It is an arithmetic number, because the mean of its divisors is an integer number (3720254720).

Almost surely, 2212023201302 is an apocalyptic number.

212023201302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212023201302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267858339840).

212023201302 is an abundant number, since it is smaller than the sum of its proper divisors (323693478378).

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

212023201302 is a wasteful number, since it uses less digits than its factorization.

212023201302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40519 (or 40505 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212023201302 its reverse (203102320212), we get a palindrome (415125521514).

The spelling of 212023201302 in words is "two hundred twelve billion, twenty-three million, two hundred one thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 127 171 198 209 242 254 342 363 381 418 627 726 762 1089 1143 1254 1397 1881 2178 2286 2299 2413 2794 3762 4191 4598 4826 6897 7239 8382 12573 13794 14478 15367 20691 21717 25146 26543 30734 40343 41382 43434 46101 53086 79629 80686 92202 121029 138303 159258 238887 242058 276606 291973 363087 443773 477774 583946 726174 766517 875919 887546 1331319 1533034 1751838 2299551 2627757 2662638 3993957 4599102 4881503 5123561 5255514 6898653 7987914 8431687 9763006 10247122 13797306 14644509 15370683 16863374 25295061 29289018 30741366 43933527 46112049 50590122 56359171 75885183 87867054 92224098 92748557 97347659 112718342 151770366 169077513 185497114 194695318 278245671 292042977 338155026 507232539 556491342 584085954 619950881 834737013 876128931 1014465078 1070824249 1239901762 1669474026 1752257862 1859852643 2141648498 3212472747 3719705286 5579557929 6424945494 9637418241 11159115858 11779066739 19274836482 23558133478 35337200217 70674400434 106011600651 212023201302