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102424417236 = 2232231131995501
BaseRepresentation
bin101111101100011111…
…0001001001111010100
3100210101010121111110200
41133120332021033110
53134231122322421
6115015250420500
710254113116221
oct1373076111724
9323333544420
10102424417236
113a48aa05709
1217a25891730
139873b9725b
144d59038948
1529e6ed5726
hex17d8f893d4

102424417236 has 144 divisors (see below), whose sum is σ = 273973190400. Its totient is φ = 32199552000.

The previous prime is 102424417231. The next prime is 102424417243. The reversal of 102424417236 is 632714424201.

102424417236 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 2 + 4 + 417 + 236 = 666.

It is a super-2 number, since 2×1024244172362 (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 a self number, because there is not a number n which added to its sum of digits gives 102424417236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102424417231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18616486 + ... + 18621986.

It is an arithmetic number, because the mean of its divisors is an integer number (1902591600).

Almost surely, 2102424417236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102424417236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136986595200).

102424417236 is an abundant number, since it is smaller than the sum of its proper divisors (171548773164).

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

102424417236 is a wasteful number, since it uses less digits than its factorization.

102424417236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 102424417236 in words is "one hundred two billion, four hundred twenty-four million, four hundred seventeen thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 113 138 199 207 226 276 339 398 414 452 597 678 796 828 1017 1194 1356 1791 2034 2388 2599 3582 4068 4577 5198 5501 7164 7797 9154 10396 11002 13731 15594 16503 18308 22004 22487 23391 27462 31188 33006 41193 44974 46782 49509 54924 66012 67461 82386 89948 93564 99018 126523 134922 164772 198036 202383 253046 269844 379569 404766 506092 517201 621613 759138 809532 1034402 1094699 1138707 1243226 1518276 1551603 1864839 2068804 2189398 2277414 2486452 3103206 3284097 3729678 4378796 4554828 4654809 5594517 6206412 6568194 7459356 9309618 9852291 11189034 13136388 14297099 18619236 19704582 22378068 25178077 28594198 39409164 42891297 50356154 57188396 75534231 85782594 100712308 123700987 128673891 151068462 171565188 226602693 247401974 257347782 302136924 371102961 453205386 494803948 514695564 742205922 906410772 1113308883 1484411844 2226617766 2845122701 4453235532 5690245402 8535368103 11380490804 17070736206 25606104309 34141472412 51212208618 102424417236