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102210010201212 = 223731931368144189
BaseRepresentation
bin10111001111010110011111…
…010110011011110001111100
3111101220011220100101222022020
4113033112133112123301330
5101344102100102414322
61001214344103120140
730346300222664364
oct2717263726336174
9441804810358266
10102210010201212
112a627027170521
12b568b99743050
134505493848c64
141b34dc2ddd9a4
15bc3ab494705c
hex5cf59f59bc7c

102210010201212 has 96 divisors (see below), whose sum is σ = 243032899717440. Its totient is φ = 33425980784640.

The previous prime is 102210010201177. The next prime is 102210010201241. The reversal of 102210010201212 is 212102010012201.

102210010201212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1022100102012122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102210010201191 and 102210010201200.

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, 2312997214 + ... + 2313041402.

It is an arithmetic number, because the mean of its divisors is an integer number (2531592705390).

Almost surely, 2102210010201212 is an apocalyptic number.

102210010201212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102210010201212 is an abundant number, since it is smaller than the sum of its proper divisors (140822889516228).

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

102210010201212 is a wasteful number, since it uses less digits than its factorization.

102210010201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58143 (or 58141 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102210010201212 its reverse (212102010012201), we get a palindrome (314312020213413).

The spelling of 102210010201212 in words is "one hundred two trillion, two hundred ten billion, ten million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 73 146 193 219 292 386 438 579 772 876 1158 2316 13681 14089 27362 28178 41043 42267 44189 54724 56356 82086 84534 88378 132567 164172 169068 176756 265134 530268 998713 1997426 2640433 2996139 3225797 3994852 5280866 5992278 6451594 7921299 8528477 9677391 10561732 11984556 12903188 15842598 17056954 19354782 25585431 31685196 34113908 38709564 51170862 102341724 192751609 385503218 578254827 604549709 622578821 771006436 1156509654 1209099418 1245157642 1813649127 1867736463 2313019308 2418198836 2490315284 3627298254 3735472926 7254596508 7470945852 44132128757 88264257514 116678093837 132396386271 176528515028 233356187674 264792772542 350034281511 466712375348 529585545084 700068563022 1400137126044 8517500850101 17035001700202 25552502550303 34070003400404 51105005100606 102210010201212