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102181004604 = 22347211213523
BaseRepresentation
bin101111100101001110…
…1100110010100111100
3100202202011120212010000
41133022131212110330
53133231314121404
6114535153314300
710245066131340
oct1371235462474
9322664525100
10102181004604
113a375571148
1217978265990
139835620003
144d34995620
1529d0953339
hex17ca76653c

102181004604 has 120 divisors (see below), whose sum is σ = 306729788288. Its totient is φ = 29056073760.

The previous prime is 102181004587. The next prime is 102181004617. The reversal of 102181004604 is 406400181201.

It is a happy number.

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 39 ways as a sum of consecutive naturals, for example, 371787 + ... + 585309.

Almost surely, 2102181004604 is an apocalyptic number.

102181004604 is a gapful number since it is divisible by the number (14) 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 102181004604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153364894144).

102181004604 is an abundant number, since it is smaller than the sum of its proper divisors (204548783684).

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

102181004604 is a wasteful number, since it uses less digits than its factorization.

102181004604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213757 (or 213746 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 102181004604 its reverse (406400181201), we get a palindrome (508581185805).

The spelling of 102181004604 in words is "one hundred two billion, one hundred eighty-one million, four thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 211 252 324 378 422 567 633 756 844 1134 1266 1477 1899 2268 2532 2954 3798 4431 5697 5908 7596 8862 11394 13293 17091 17724 22788 26586 34182 39879 53172 68364 79758 119637 159516 213523 239274 427046 478548 640569 854092 1281138 1494661 1921707 2562276 2989322 3843414 4483983 5765121 5978644 7686828 8967966 11530242 13451949 17295363 17935932 23060484 26903898 34590726 40355847 45053353 53807796 69181452 80711694 90106706 121067541 135160059 161423388 180213412 242135082 270320118 315373471 405480177 484270164 540640236 630746942 810960354 946120413 1216440531 1261493884 1621920708 1892240826 2432881062 2838361239 3649321593 3784481652 4865762124 5676722478 7298643186 8515083717 11353444956 14597286372 17030167434 25545251151 34060334868 51090502302 102181004604