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102204341106 = 237431072632011
BaseRepresentation
bin101111100101111011…
…0100111101101110010
3100202210210111110202220
41133023312213231302
53133303302403411
6114541345421510
710245501364650
oct1371366475562
9322723443686
10102204341106
113a38776020a
121798403a896
13983a400caa
144d37b0bdd0
1529d2a12b06
hex17cbda7b72

102204341106 has 128 divisors (see below), whose sum is σ = 242314592256. Its totient is φ = 28134146880.

The previous prime is 102204341089. The next prime is 102204341111. The reversal of 102204341106 is 601143402201.

102204341106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 50821641 + ... + 50823651.

It is an arithmetic number, because the mean of its divisors is an integer number (1893082752).

Almost surely, 2102204341106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102204341106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121157296128).

102204341106 is an abundant number, since it is smaller than the sum of its proper divisors (140110251150).

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

102204341106 is a wasteful number, since it uses less digits than its factorization.

102204341106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102204341106 its reverse (601143402201), we get a palindrome (703347743307).

The spelling of 102204341106 in words is "one hundred two billion, two hundred four million, three hundred forty-one thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 43 86 107 129 214 258 263 301 321 526 602 642 749 789 903 1498 1578 1806 1841 2011 2247 3682 4022 4494 4601 5523 6033 9202 11046 11309 12066 13803 14077 22618 27606 28141 28154 32207 33927 42231 56282 64414 67854 79163 84423 84462 86473 96621 158326 168846 172946 193242 196987 215177 237489 259419 393974 430354 474978 518838 528893 590961 605311 645531 1057786 1181922 1210063 1210622 1291062 1506239 1586679 1815933 2420126 3012478 3173358 3630189 3631866 3702251 4518717 7260378 7404502 8470441 9037434 9252611 11106753 16940882 18505222 22213506 22742399 25411323 27757833 45484798 50822646 55515666 56591551 64768277 68227197 113183102 129536554 136454394 159196793 169774653 194304831 318393586 339549306 388609662 396140857 477590379 792281714 955180758 1188422571 2376845142 2433436693 4866873386 7300310079 14600620158 17034056851 34068113702 51102170553 102204341106