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1023202000212 = 2237107637317863
BaseRepresentation
bin11101110001110111001…
…01110111110101010100
310121211001201002011021020
432320323211313311110
5113231004203001322
62102015201521140
7133631620333350
oct16707345676524
93554051064236
101023202000212
11364a34944087
121463783431b0
1375645162552
1437747ab8460
151b93867805c
hexee3b977d54

1023202000212 has 96 divisors (see below), whose sum is σ = 2754625370112. Its totient is φ = 289549593216.

The previous prime is 1023202000159. The next prime is 1023202000229. The reversal of 1023202000212 is 2120002023201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1023202000191 and 1023202000200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57271593 + ... + 57289455.

It is an arithmetic number, because the mean of its divisors is an integer number (28694014272).

Almost surely, 21023202000212 is an apocalyptic number.

1023202000212 is a gapful number since it is divisible by the number (12) 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 1023202000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377312685056).

1023202000212 is an abundant number, since it is smaller than the sum of its proper divisors (1731423369900).

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

1023202000212 is a wasteful number, since it uses less digits than its factorization.

1023202000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24357 (or 24355 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1023202000212 its reverse (2120002023201), we get a palindrome (3143204023413).

The spelling of 1023202000212 in words is "one trillion, twenty-three billion, two hundred two million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 2247 2996 4494 6373 8988 12746 17863 19119 25492 35726 38238 44611 53589 71452 76476 89222 107178 125041 133833 178444 214356 250082 267666 375123 500164 535332 681911 750246 1363822 1500492 1911341 2045733 2727644 3822682 4091466 4773377 5734023 7645364 8182932 9546754 11468046 13379387 14320131 19093508 22936092 26758774 28640262 40138161 53517548 57280524 80276322 113840899 160552644 227681798 341522697 455363596 683045394 796886293 1366090788 1593772586 2390658879 3187545172 4781317758 9562635516 12180976193 24361952386 36542928579 48723904772 73085857158 85266833351 146171714316 170533666702 255800500053 341067333404 511601000106 1023202000212