Search a number
-
+
210102000022112 = 25112731087683821
BaseRepresentation
bin101111110001011000101111…
…000100111111001001100000
31000112220112222121220022012112
4233301120233010333021200
5210014302344001201422
62022503305405014452
762153240264603642
oct5761305704771140
91015815877808175
10210102000022112
1160a43837734700
121b693212854428
1390306c23ab273
1439c4dc3676892
15194537dad5ee2
hexbf162f13f260

210102000022112 has 144 divisors (see below), whose sum is σ = 461313192243456. Its totient is φ = 94105886054400.

The previous prime is 210102000022081. The next prime is 210102000022157. The reversal of 210102000022112 is 211220000201012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306905162 + ... + 307588982.

It is an arithmetic number, because the mean of its divisors is an integer number (3203563835024).

Almost surely, 2210102000022112 is an apocalyptic number.

210102000022112 is a gapful number since it is divisible by the number (22) 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 210102000022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230656596121728).

210102000022112 is an abundant number, since it is smaller than the sum of its proper divisors (251211192221344).

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

210102000022112 is a wasteful number, since it uses less digits than its factorization.

210102000022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685013 (or 684994 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210102000022112 its reverse (211220000201012), we get a palindrome (421322000223124).

The spelling of 210102000022112 in words is "two hundred ten trillion, one hundred two billion, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 121 146 176 242 292 352 484 584 803 968 1087 1168 1606 1936 2174 2336 3212 3872 4348 6424 8696 8833 11957 12848 17392 17666 23914 25696 34784 35332 47828 70664 79351 95656 131527 141328 158702 191312 263054 282656 317404 382624 526108 634808 683821 872861 1052216 1269616 1367642 1745722 2104432 2539232 2735284 3491444 4208864 5470568 6982888 7522031 9601471 10941136 13965776 15044062 19202942 21882272 27931552 30088124 38405884 49918933 60176248 76811768 82742341 99837866 120352496 153623536 165484682 199675732 240704992 307247072 330969364 399351464 549108263 661938728 743313427 798702928 1098216526 1323877456 1486626854 1597405856 2196433052 2647754912 2973253708 4392866104 5946507416 6040190893 8176447697 8785732208 11893014832 12080381786 16352895394 17571464416 23786029664 24160763572 32705790788 48321527144 54261880171 65411581576 89940924667 96643054288 108523760342 130823163152 179881849334 193286108576 217047520684 261646326304 359763698668 434095041368 596880681881 719527397336 868190082736 1193761363762 1439054794672 1736380165472 2387522727524 2878109589344 4775045455048 6565687500691 9550090910096 13131375001382 19100181820192 26262750002764 52525500005528 105051000011056 210102000022112