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102213684612 = 2232132326213623
BaseRepresentation
bin101111100110001101…
…0010000110110000100
3100202211110002011122200
41133030122100312010
53133313200401422
6114542321554500
710245643661334
oct1371432206604
9322743064580
10102213684612
113a391a62116
12179871a5a30
13983c322ab0
144d390610c4
1529d375b2ac
hex17cc690d84

102213684612 has 144 divisors (see below), whose sum is σ = 290537065728. Its totient is φ = 30063179520.

The previous prime is 102213684607. The next prime is 102213684637. The reversal of 102213684612 is 216486312201.

It is a happy number.

102213684612 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 36 + 8 + 4 + 612 = 666.

It is a super-2 number, since 2×1022136846122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28210633 + ... + 28214255.

It is an arithmetic number, because the mean of its divisors is an integer number (2017618512).

Almost surely, 2102213684612 is an apocalyptic number.

102213684612 is a gapful number since it is divisible by the number (12) 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 102213684612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145268532864).

102213684612 is an abundant number, since it is smaller than the sum of its proper divisors (188323381116).

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

102213684612 is a wasteful number, since it uses less digits than its factorization.

102213684612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6290 (or 6285 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 102213684612 its reverse (216486312201), we get a palindrome (318699996813).

The spelling of 102213684612 in words is "one hundred two billion, two hundred thirteen million, six hundred eighty-four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2621 2691 3588 3623 5242 5382 7246 7863 10484 10764 10869 14492 15726 21738 23589 31452 32607 34073 43476 47099 47178 60283 65214 68146 83329 94198 94356 102219 120566 130428 136292 141297 166658 180849 188396 204438 241132 249987 282594 306657 333316 361698 408876 423891 499974 542547 565188 613314 723396 749961 783679 847782 999948 1083277 1085094 1226628 1499922 1567358 1695564 2166554 2170188 2351037 2999844 3134716 3249831 4333108 4702074 6499662 7053111 9404148 9495883 9749493 12999324 14106222 18991766 19498986 28212444 28487649 37983532 38997972 56975298 85462947 113950596 123446479 170925894 218405309 246892958 341851788 370339437 436810618 493785916 655215927 740678874 873621236 1111018311 1310431854 1481357748 1965647781 2222036622 2620863708 2839269017 3931295562 4444073244 5678538034 7862591124 8517807051 11357076068 17035614102 25553421153 34071228204 51106842306 102213684612