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102220020201222 = 232711240491655893
BaseRepresentation
bin10111001111011111110011…
…111111100011011100000110
3111101221010201221222122212100
4113033133303333203130012
5101344233100132414342
61001223121244132530
730350103251406030
oct2717376377433406
9441833657878770
10102220020201222
112a6302a3595700
12b56ab11b37146
1345063ca627ca1
141b35692606c50
15bc3e9d62ce4c
hex5cf7f3fe3706

102220020201222 has 144 divisors (see below), whose sum is σ = 278287558567200. Its totient is φ = 26544081231360.

The previous prime is 102220020201149. The next prime is 102220020201227. The reversal of 102220020201222 is 222102020022201.

102220020201222 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 0 + 20 + 201 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102220020201195 and 102220020201204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220020201227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60903108 + ... + 62559000.

It is an arithmetic number, because the mean of its divisors is an integer number (1932552490050).

Almost surely, 2102220020201222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220020201222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139143779283600).

102220020201222 is an abundant number, since it is smaller than the sum of its proper divisors (176067538365978).

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

102220020201222 is a wasteful number, since it uses less digits than its factorization.

102220020201222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659979 (or 1659965 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102220020201222 its reverse (222102020022201), we get a palindrome (324322040223423).

The spelling of 102220020201222 in words is "one hundred two trillion, two hundred twenty billion, twenty million, two hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1386 1694 2178 2541 4049 5082 7623 8098 12147 15246 24294 28343 36441 44539 56686 72882 85029 89078 133617 170058 255087 267234 311773 400851 489929 510174 623546 801702 935319 979858 1469787 1655893 1870638 2805957 2939574 3311786 3429503 4409361 4967679 5611914 6859006 8818722 9935358 10288509 11591251 14903037 18214823 20577018 23182502 29806074 30865527 34773753 36429646 54644469 61731054 69547506 104321259 109288938 127503761 163933407 200363053 208642518 255007522 327866814 382511283 400726106 601089159 765022566 1147533849 1202178318 1402541371 1803267477 2295067698 2805082742 3606534954 4207624113 6704710757 8415248226 12622872339 13409421514 20114132271 25245744678 40228264542 46932975299 60342396813 73751818327 93865950598 120684793626 140798925897 147503636654 221255454981 281597851794 422396777691 442510909962 516262728289 663766364943 811270001597 844793555382 1032525456578 1327532729886 1548788184867 1622540003194 2433810004791 3097576369734 4646364554601 4867620009582 5678890011179 7301430014373 9292729109202 11357780022358 14602860028746 17036670033537 34073340067074 51110010100611 102220020201222