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104202103134330 = 232517190093358277
BaseRepresentation
bin10111101100010101110001…
…010101111001100001111010
3111122221121211201201012122100
4113230111301111321201322
5102124221401400244310
61005341441344204230
730643232153352345
oct2754256125714172
9448847751635570
10104202103134330
1130224955748993
12b82b095609676
13461b2a6ba8216
141ba35a169745c
15c0a808684ec0
hex5ec57157987a

104202103134330 has 96 divisors (see below), whose sum is σ = 286864570131984. Its totient is φ = 26152474134528.

The previous prime is 104202103134277. The next prime is 104202103134341. The reversal of 104202103134330 is 33431301202401.

It is a happy number.

104202103134330 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 2 + 10 + 313 + 4 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 42299401432401 + 61902701701929 = 6503799^2 + 7867827^2 .

It is a junction number, because it is equal to n+sod(n) for n = 104202103134294 and 104202103134303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290663152 + ... + 291021428.

Almost surely, 2104202103134330 is an apocalyptic number.

104202103134330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104202103134330 is an abundant number, since it is smaller than the sum of its proper divisors (182662466997654).

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

104202103134330 is a wasteful number, since it uses less digits than its factorization.

104202103134330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548400 (or 548397 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 104202103134330 its reverse (33431301202401), we get a palindrome (137633404336731).

The spelling of 104202103134330 in words is "one hundred four trillion, two hundred two billion, one hundred three million, one hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 190093 358277 380186 570279 716554 950465 1074831 1140558 1710837 1791385 1900930 2149662 2851395 3224493 3231581 3421674 3582770 5374155 5702790 6090709 6448986 6463162 8554185 9694743 10748310 12181418 16122465 16157905 17108370 18272127 19389486 29084229 30453545 32244930 32315810 36544254 48473715 54816381 58168458 60907090 91360635 96947430 109632762 145421145 182721270 274081905 290842290 548163810 68105949761 136211899522 204317849283 340529748805 408635698566 612953547849 681059497610 1021589246415 1157801145937 1225907095698 2043178492830 2315602291874 3064767739245 3473403437811 5789005729685 6129535478490 6946806875622 10420210313433 11578011459370 17367017189055 20840420626866 34734034378110 52101051567165 104202103134330