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102221011112094 = 233719114089124753
BaseRepresentation
bin10111001111100000101111…
…000011100101000010011110
3111101221020022000120011001000
4113033200233003211002132
5101344242112321041334
61001223403442531130
730350136643123020
oct2717405703450236
9441836260504030
10102221011112094
112a630761970706
12b56b149966aa6
134506527a02094
141b3574806a010
15bc400a616299
hex5cf82f0e509e

102221011112094 has 128 divisors (see below), whose sum is σ = 273277130112000. Its totient is φ = 27668380806144.

The previous prime is 102221011112071. The next prime is 102221011112111. The reversal of 102221011112094 is 490211110122201.

It is a super-2 number, since 2×1022210111120942 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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, 819324822 + ... + 819449574.

It is an arithmetic number, because the mean of its divisors is an integer number (2134977579000).

Almost surely, 2102221011112094 is an apocalyptic number.

102221011112094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102221011112094 is an abundant number, since it is smaller than the sum of its proper divisors (171056118999906).

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

102221011112094 is a wasteful number, since it uses less digits than its factorization.

102221011112094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238879 (or 238873 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Adding to 102221011112094 its reverse (490211110122201), we get a palindrome (592432121234295).

The spelling of 102221011112094 in words is "one hundred two trillion, two hundred twenty-one billion, eleven million, one hundred twelve thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 7182 114089 124753 228178 249506 342267 374259 684534 748518 798623 873271 1026801 1122777 1597246 1746542 2053602 2167691 2245554 2370307 2395869 2619813 3080403 3368331 4335382 4740614 4791738 5239626 6160806 6503073 6736662 7110921 7187607 7859439 13006146 14221842 14375214 15173837 15718878 16592149 19509219 21332763 21562821 23578317 30347674 33184298 39018438 42665526 43125642 45521511 47156634 49776447 58527657 63998289 91043022 99552894 117055314 127996578 136564533 149329341 273129066 298658682 409693599 447988023 819387198 895976046 14232945017 28465890034 42698835051 85397670102 99630615119 128096505153 199261230238 256193010306 270425955323 298891845357 384289515459 540851910646 597783690714 768579030918 811277865969 896675536071 1622555731938 1793351072142 1892981687261 2433833597907 2690026608213 3785963374522 4867667195814 5380053216426 5678945061783 7301500793721 11357890123566 14603001587442 17036835185349 34073670370698 51110505556047 102221011112094