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102112011220212 = 223272029606732917
BaseRepresentation
bin10111001101111011001110…
…001001111111010011110100
3111101112210221122000221002100
4113031323032021333103310
5101341000344333021322
61001101335500542100
730336230554253460
oct2715731611772364
9441483848027070
10102112011220212
112a599508308634
12b551ba9b51930
1344c917677c636
141b30367a214a0
15bc127b221dac
hex5cdece27f4f4

102112011220212 has 144 divisors (see below), whose sum is σ = 295193255244160. Its totient is φ = 29154789271296.

The previous prime is 102112011220157. The next prime is 102112011220229. The reversal of 102112011220212 is 212022110211201.

102112011220212 is a `hidden beast` number, since 1 + 0 + 211 + 20 + 1 + 1 + 220 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3102089178 + ... + 3102122094.

Almost surely, 2102112011220212 is an apocalyptic number.

102112011220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102112011220212 is an abundant number, since it is smaller than the sum of its proper divisors (193081244023948).

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

102112011220212 is a wasteful number, since it uses less digits than its factorization.

102112011220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41030 (or 41025 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102112011220212 its reverse (212022110211201), we get a palindrome (314134121431413).

The spelling of 102112011220212 in words is "one hundred two trillion, one hundred twelve billion, eleven million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2029 4058 6067 6087 8116 12134 12174 14203 18201 18261 24268 24348 28406 32917 36402 36522 42469 42609 54603 56812 65834 72804 73044 84938 85218 98751 109206 127407 127827 131668 169876 170436 197502 218412 230419 254814 255654 296253 382221 395004 460838 509628 511308 592506 691257 764442 921676 1185012 1382514 1528884 2073771 2765028 4147542 8295084 12309943 24619886 36929829 49239772 66788593 73859658 86169601 110789487 133577186 147719316 172339202 199707439 200365779 221578974 258508803 267154372 344678404 399414878 400731558 443157948 467520151 517017606 599122317 601097337 775526409 798829756 801463116 935040302 1034035212 1198244634 1202194674 1397952073 1402560453 1551052818 1797366951 1870080604 2396489268 2404389348 2795904146 2805120906 3102105636 3594733902 4193856219 4207681359 5591808292 5610241812 7189467804 8387712438 8415362718 12581568657 16775424876 16830725436 25163137314 50326274628 405206393731 810412787462 1215619181193 1620825574924 2431238362386 2836444756117 3646857543579 4862476724772 5672889512234 7293715087158 8509334268351 11345779024468 14587430174316 17018668536702 25528002805053 34037337073404 51056005610106 102112011220212