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10212222222306 = 23313100918797673
BaseRepresentation
bin1001010010011011011111…
…1000001011111111100010
31100011021112022210011101000
42110212313320023333202
52314304112342103211
633415232523452430
72102544246435426
oct224466770137742
940137468704330
1010212222222306
113287a85237795
12118b244687116
135910156772b0
142743ba556b86
1512a99b3d1656
hex949b7e0bfe2

10212222222306 has 128 divisors (see below), whose sum is σ = 24479937216000. Its totient is φ = 3137028507648.

The previous prime is 10212222222283. The next prime is 10212222222347. The reversal of 10212222222306 is 60322222221201.

It is a happy number.

10212222222306 is a `hidden beast` number, since 1 + 0 + 212 + 2 + 222 + 223 + 0 + 6 = 666.

It is a super-3 number, since 3×102122222223063 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10212222222306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330925686 + ... + 1330933358.

It is an arithmetic number, because the mean of its divisors is an integer number (191249509500).

Almost surely, 210212222222306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212222222306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12239968608000).

10212222222306 is an abundant number, since it is smaller than the sum of its proper divisors (14267714993694).

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

10212222222306 is a wasteful number, since it uses less digits than its factorization.

10212222222306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10585 (or 10579 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10212222222306 its reverse (60322222221201), we get a palindrome (70534444443507).

The spelling of 10212222222306 in words is "ten trillion, two hundred twelve billion, two hundred twenty-two million, two hundred twenty-two thousand, three hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1009 1879 2018 3027 3758 5637 6054 7673 9081 11274 13117 15346 16911 18162 23019 24427 26234 27243 33822 39351 46038 48854 50733 54486 69057 73281 78702 99749 101466 118053 138114 146562 199498 207171 219843 236106 299247 354159 414342 439686 598494 659529 708318 897741 1319058 1795482 1895911 2693223 3791822 5386446 5687733 7742057 11375466 14417567 15484114 17063199 23226171 24646843 28835134 34126398 43252701 46452342 49293686 51189597 69678513 73940529 86505402 100646741 102379194 129758103 139357026 147881058 187428371 201293482 209035539 221821587 259516206 301940223 374856742 389274309 418071078 443643174 562285113 603880446 665464761 778548618 905820669 1124570226 1330929522 1686855339 1811641338 2717462007 3373710678 5060566017 5434924014 10121132034 14547325103 29094650206 43641975309 87283950618 130925925927 189115226339 261851851854 378230452678 392777777781 567345679017 785555555562 1134691358034 1702037037051 3404074074102 5106111111153 10212222222306